What is the Greatest Common Factor of 57971 and 57978?

Greatest common factor (GCF) of 57971 and 57978 is 1.

GCF(57971,57978) = 1

We will now calculate the prime factors of 57971 and 57978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57971 and 57978.

How to find the GCF of 57971 and 57978?

We will first find the prime factorization of 57971 and 57978. After we will calculate the factors of 57971 and 57978 and find the biggest common factor number .

Step-1: Prime Factorization of 57971

Prime factors of 57971 are 29, 1999. Prime factorization of 57971 in exponential form is:

57971 = 29¹ × 1999¹

Step-2: Prime Factorization of 57978

Prime factors of 57978 are 2, 3, 3221. Prime factorization of 57978 in exponential form is:

57978 = 2¹ × 3² × 3221¹

Step-3: Factors of 57971

List of positive integer factors of 57971 that divides 57971 without a remainder.

1, 29, 1999

Step-4: Factors of 57978

List of positive integer factors of 57978 that divides 57971 without a remainder.

1, 2, 3, 6, 9, 18, 3221, 6442, 9663, 19326, 28989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57971 and 57978. The biggest common factor number is the GCF number.
So the greatest common factor 57971 and 57978 is 1.

Also check out the Least Common Multiple of 57971 and 57978