What is the Greatest Common Factor of 57968 and 57973?

Greatest common factor (GCF) of 57968 and 57973 is 1.

GCF(57968,57973) = 1

We will now calculate the prime factors of 57968 and 57973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57968 and 57973.

How to find the GCF of 57968 and 57973?

We will first find the prime factorization of 57968 and 57973. After we will calculate the factors of 57968 and 57973 and find the biggest common factor number .

Step-1: Prime Factorization of 57968

Prime factors of 57968 are 2, 3623. Prime factorization of 57968 in exponential form is:

57968 = 2⁴ × 3623¹

Step-2: Prime Factorization of 57973

Prime factors of 57973 are 57973. Prime factorization of 57973 in exponential form is:

57973 = 57973¹

Step-3: Factors of 57968

List of positive integer factors of 57968 that divides 57968 without a remainder.

1, 2, 4, 8, 16, 3623, 7246, 14492, 28984

Step-4: Factors of 57973

List of positive integer factors of 57973 that divides 57968 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57968 and 57973. The biggest common factor number is the GCF number.
So the greatest common factor 57968 and 57973 is 1.

Also check out the Least Common Multiple of 57968 and 57973