What is the Greatest Common Factor of 57940 and 57956?

Greatest common factor (GCF) of 57940 and 57956 is 4.

GCF(57940,57956) = 4

We will now calculate the prime factors of 57940 and 57956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57940 and 57956.

How to find the GCF of 57940 and 57956?

We will first find the prime factorization of 57940 and 57956. After we will calculate the factors of 57940 and 57956 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57956

Prime factors of 57956 are 2, 14489. Prime factorization of 57956 in exponential form is:

57956 = 2² × 14489¹

Step-3: Factors of 57940

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

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

Step-4: Factors of 57956

List of positive integer factors of 57956 that divides 57940 without a remainder.

1, 2, 4, 14489, 28978

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57940 and 57956. The biggest common factor number is the GCF number.
So the greatest common factor 57940 and 57956 is 4.

Also check out the Least Common Multiple of 57940 and 57956