What is the Greatest Common Factor of 57925 and 57940?

Greatest common factor (GCF) of 57925 and 57940 is 5.

GCF(57925,57940) = 5

We will now calculate the prime factors of 57925 and 57940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57925 and 57940.

How to find the GCF of 57925 and 57940?

We will first find the prime factorization of 57925 and 57940. After we will calculate the factors of 57925 and 57940 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 57940

Prime factors of 57940 are 2, 5, 2897. Prime factorization of 57940 in exponential form is:

57940 = 2² × 5¹ × 2897¹

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 57940

List of positive integer factors of 57940 that divides 57925 without a remainder.

1, 2, 4, 5, 10, 20, 2897, 5794, 11588, 14485, 28970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57925 and 57940. The biggest common factor number is the GCF number.
So the greatest common factor 57925 and 57940 is 5.

Also check out the Least Common Multiple of 57925 and 57940