What is the Greatest Common Factor of 45972 and 45979?

Greatest common factor (GCF) of 45972 and 45979 is 1.

GCF(45972,45979) = 1

We will now calculate the prime factors of 45972 and 45979, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45972 and 45979.

How to find the GCF of 45972 and 45979?

We will first find the prime factorization of 45972 and 45979. After we will calculate the factors of 45972 and 45979 and find the biggest common factor number .

Step-1: Prime Factorization of 45972

Prime factors of 45972 are 2, 3, 1277. Prime factorization of 45972 in exponential form is:

45972 = 2² × 3² × 1277¹

Step-2: Prime Factorization of 45979

Prime factors of 45979 are 45979. Prime factorization of 45979 in exponential form is:

45979 = 45979¹

Step-3: Factors of 45972

List of positive integer factors of 45972 that divides 45972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1277, 2554, 3831, 5108, 7662, 11493, 15324, 22986

Step-4: Factors of 45979

List of positive integer factors of 45979 that divides 45972 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45972 and 45979. The biggest common factor number is the GCF number.
So the greatest common factor 45972 and 45979 is 1.

Also check out the Least Common Multiple of 45972 and 45979