What is the Greatest Common Factor of 64700 and 64714?

Greatest common factor (GCF) of 64700 and 64714 is 2.

GCF(64700,64714) = 2

We will now calculate the prime factors of 64700 and 64714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64700 and 64714.

How to find the GCF of 64700 and 64714?

We will first find the prime factorization of 64700 and 64714. After we will calculate the factors of 64700 and 64714 and find the biggest common factor number .

Step-1: Prime Factorization of 64700

Prime factors of 64700 are 2, 5, 647. Prime factorization of 64700 in exponential form is:

64700 = 2² × 5² × 647¹

Step-2: Prime Factorization of 64714

Prime factors of 64714 are 2, 13, 19, 131. Prime factorization of 64714 in exponential form is:

64714 = 2¹ × 13¹ × 19¹ × 131¹

Step-3: Factors of 64700

List of positive integer factors of 64700 that divides 64700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 647, 1294, 2588, 3235, 6470, 12940, 16175, 32350

Step-4: Factors of 64714

List of positive integer factors of 64714 that divides 64700 without a remainder.

1, 2, 13, 19, 26, 38, 131, 247, 262, 494, 1703, 2489, 3406, 4978, 32357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64700 and 64714. The biggest common factor number is the GCF number.
So the greatest common factor 64700 and 64714 is 2.

Also check out the Least Common Multiple of 64700 and 64714