What is the Greatest Common Factor of 64925 and 64930?

Greatest common factor (GCF) of 64925 and 64930 is 5.

GCF(64925,64930) = 5

We will now calculate the prime factors of 64925 and 64930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64925 and 64930.

How to find the GCF of 64925 and 64930?

We will first find the prime factorization of 64925 and 64930. After we will calculate the factors of 64925 and 64930 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 64930

Prime factors of 64930 are 2, 5, 43, 151. Prime factorization of 64930 in exponential form is:

64930 = 2¹ × 5¹ × 43¹ × 151¹

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 64930

List of positive integer factors of 64930 that divides 64925 without a remainder.

1, 2, 5, 10, 43, 86, 151, 215, 302, 430, 755, 1510, 6493, 12986, 32465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64925 and 64930. The biggest common factor number is the GCF number.
So the greatest common factor 64925 and 64930 is 5.

Also check out the Least Common Multiple of 64925 and 64930