What is the Greatest Common Factor of 57954 and 57971?

Greatest common factor (GCF) of 57954 and 57971 is 1.

GCF(57954,57971) = 1

We will now calculate the prime factors of 57954 and 57971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57954 and 57971.

How to find the GCF of 57954 and 57971?

We will first find the prime factorization of 57954 and 57971. After we will calculate the factors of 57954 and 57971 and find the biggest common factor number .

Step-1: Prime Factorization of 57954

Prime factors of 57954 are 2, 3, 13, 743. Prime factorization of 57954 in exponential form is:

57954 = 2¹ × 3¹ × 13¹ × 743¹

Step-2: Prime Factorization of 57971

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

57971 = 29¹ × 1999¹

Step-3: Factors of 57954

List of positive integer factors of 57954 that divides 57954 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 743, 1486, 2229, 4458, 9659, 19318, 28977

Step-4: Factors of 57971

List of positive integer factors of 57971 that divides 57954 without a remainder.

1, 29, 1999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57954 and 57971. The biggest common factor number is the GCF number.
So the greatest common factor 57954 and 57971 is 1.

Also check out the Least Common Multiple of 57954 and 57971