What is the Greatest Common Factor of 64925 and 64935?

Greatest common factor (GCF) of 64925 and 64935 is 5.

GCF(64925,64935) = 5

We will now calculate the prime factors of 64925 and 64935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64925 and 64935.

How to find the GCF of 64925 and 64935?

We will first find the prime factorization of 64925 and 64935. After we will calculate the factors of 64925 and 64935 and find the biggest common factor number .

Step-1: Prime Factorization of 64925

Prime factors of 64925 are 5, 7, 53. Prime factorization of 64925 in exponential form is:

64925 = 5² × 7² × 53¹

Step-2: Prime Factorization of 64935

Prime factors of 64935 are 3, 5, 13, 37. Prime factorization of 64935 in exponential form is:

64935 = 3³ × 5¹ × 13¹ × 37¹

Step-3: Factors of 64925

List of positive integer factors of 64925 that divides 64925 without a remainder.

1, 5, 7, 25, 35, 49, 53, 175, 245, 265, 371, 1225, 1325, 1855, 2597, 9275, 12985

Step-4: Factors of 64935

List of positive integer factors of 64935 that divides 64925 without a remainder.

1, 3, 5, 9, 13, 15, 27, 37, 39, 45, 65, 111, 117, 135, 185, 195, 333, 351, 481, 555, 585, 999, 1443, 1665, 1755, 2405, 4329, 4995, 7215, 12987, 21645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64925 and 64935. The biggest common factor number is the GCF number.
So the greatest common factor 64925 and 64935 is 5.

Also check out the Least Common Multiple of 64925 and 64935