DRILL 1.) (-2 + 12 + 14) ÷ 8 = 2.) 769 x 112 = 3.) $12.00 – t = $4.28 4.) A regular hexagon has 6 sides of equal length. If the perimeter of a hexagon.

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Presentation transcript:

DRILL 1.) (-2 + 12 + 14) ÷ 8 = 2.) 769 x 112 = 3.) $12.00 – t = $4.28 4.) A regular hexagon has 6 sides of equal length. If the perimeter of a hexagon is 150 in., how long is each side?

Finding The Greatest Common Factor LESSON 20

Greatest Common Factor The greatest common factor is the largest common factor of two numbers. Factors are all of the numbers that divide into a given number equally. The greatest common factor can be found by comparing all the factors of two numbers or by finding the prime factorization of two numbers

Finding Factors Finding the factors of a number can be done by sequentially dividing numbers into the product. When the factors begin to repeat you have found all factors.

We are now back to 6. We have found all factors of 18. Finding Factors Find the factors of 18 1 goes into 18, 18 times. 2 goes into 18, 9 times. 3 goes into 18, 6times. 4 does not divide 18 evenly. 5 does not divide 18 evenly. We are now back to 6. We have found all factors of 18. 1, 2, 3, 6, 9 and 18

Finding The GCF Using Factors Determine the greatest common factor of two numbers by finding all the factors for the two numbers then comparing them. The largest common factor of the two numbers is their greatest common factor.

The greatest common factor is of 36 and 24 is 12 Using Factors Find the GCF of 36 and 24 Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18 and 36 Factors of 24: 1, 2, 3, 4, 6, 8, 12 and 24 The greatest common factor is of 36 and 24 is 12

The greatest common factor of 15 and 100 is 5 Using Factors Again Find the GCF of 15 and 100 Factors of 15: 1, 3, 5 and 15 Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50 and 100 The greatest common factor of 15 and 100 is 5

The greatest common factor of 25 and 50 is 25 Using Factors Again Find the GCF of 25 and 50 Factors of 25: 1, 5 and 25 Factors of 50: 1, 2, 5, 10, 25, and 50 The greatest common factor of 25 and 50 is 25

Greatest Common Factor Now you know how to find the greatest common factor you if you have any other questions check out these sites about finding the GCF Greatest Common Factor Free Math Help