What is the Greatest Common Factor of 57914 and 57925?

Greatest common factor (GCF) of 57914 and 57925 is 1.

GCF(57914,57925) = 1

We will now calculate the prime factors of 57914 and 57925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57914 and 57925.

How to find the GCF of 57914 and 57925?

We will first find the prime factorization of 57914 and 57925. After we will calculate the factors of 57914 and 57925 and find the biggest common factor number .

Step-1: Prime Factorization of 57914

Prime factors of 57914 are 2, 23, 1259. Prime factorization of 57914 in exponential form is:

57914 = 2¹ × 23¹ × 1259¹

Step-2: 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-3: Factors of 57914

List of positive integer factors of 57914 that divides 57914 without a remainder.

1, 2, 23, 46, 1259, 2518, 28957

Step-4: Factors of 57925

List of positive integer factors of 57925 that divides 57914 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57914 and 57925. The biggest common factor number is the GCF number.
So the greatest common factor 57914 and 57925 is 1.

Also check out the Least Common Multiple of 57914 and 57925