What is the Greatest Common Factor of 64695 and 64700?

Greatest common factor (GCF) of 64695 and 64700 is 5.

GCF(64695,64700) = 5

We will now calculate the prime factors of 64695 and 64700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64695 and 64700.

How to find the GCF of 64695 and 64700?

We will first find the prime factorization of 64695 and 64700. After we will calculate the factors of 64695 and 64700 and find the biggest common factor number .

Step-1: Prime Factorization of 64695

Prime factors of 64695 are 3, 5, 19, 227. Prime factorization of 64695 in exponential form is:

64695 = 3¹ × 5¹ × 19¹ × 227¹

Step-2: 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-3: Factors of 64695

List of positive integer factors of 64695 that divides 64695 without a remainder.

1, 3, 5, 15, 19, 57, 95, 227, 285, 681, 1135, 3405, 4313, 12939, 21565

Step-4: Factors of 64700

List of positive integer factors of 64700 that divides 64695 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64695 and 64700. The biggest common factor number is the GCF number.
So the greatest common factor 64695 and 64700 is 5.

Also check out the Least Common Multiple of 64695 and 64700