What is the Greatest Common Factor of 57925 and 57935?

Greatest common factor (GCF) of 57925 and 57935 is 5.

GCF(57925,57935) = 5

We will now calculate the prime factors of 57925 and 57935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57925 and 57935.

How to find the GCF of 57925 and 57935?

We will first find the prime factorization of 57925 and 57935. After we will calculate the factors of 57925 and 57935 and find the biggest common factor number .

Step-1: Prime Factorization of 57925

Prime factors of 57925 are 5, 7, 331. Prime factorization of 57925 in exponential form is:

57925 = 5² × 7¹ × 331¹

Step-2: Prime Factorization of 57935

Prime factors of 57935 are 5, 11587. Prime factorization of 57935 in exponential form is:

57935 = 5¹ × 11587¹

Step-3: Factors of 57925

List of positive integer factors of 57925 that divides 57925 without a remainder.

1, 5, 7, 25, 35, 175, 331, 1655, 2317, 8275, 11585

Step-4: Factors of 57935

List of positive integer factors of 57935 that divides 57925 without a remainder.

1, 5, 11587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57925 and 57935. The biggest common factor number is the GCF number.
So the greatest common factor 57925 and 57935 is 5.

Also check out the Least Common Multiple of 57925 and 57935