What is the Greatest Common Factor of 57939 and 57953?

Greatest common factor (GCF) of 57939 and 57953 is 7.

GCF(57939,57953) = 7

We will now calculate the prime factors of 57939 and 57953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57939 and 57953.

How to find the GCF of 57939 and 57953?

We will first find the prime factorization of 57939 and 57953. After we will calculate the factors of 57939 and 57953 and find the biggest common factor number .

Step-1: Prime Factorization of 57939

Prime factors of 57939 are 3, 7, 31, 89. Prime factorization of 57939 in exponential form is:

57939 = 3¹ × 7¹ × 31¹ × 89¹

Step-2: Prime Factorization of 57953

Prime factors of 57953 are 7, 17, 487. Prime factorization of 57953 in exponential form is:

57953 = 7¹ × 17¹ × 487¹

Step-3: Factors of 57939

List of positive integer factors of 57939 that divides 57939 without a remainder.

1, 3, 7, 21, 31, 89, 93, 217, 267, 623, 651, 1869, 2759, 8277, 19313

Step-4: Factors of 57953

List of positive integer factors of 57953 that divides 57939 without a remainder.

1, 7, 17, 119, 487, 3409, 8279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57939 and 57953. The biggest common factor number is the GCF number.
So the greatest common factor 57939 and 57953 is 7.

Also check out the Least Common Multiple of 57939 and 57953