What is the Greatest Common Factor of 45972 and 45981?

Greatest common factor (GCF) of 45972 and 45981 is 9.

GCF(45972,45981) = 9

We will now calculate the prime factors of 45972 and 45981, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45972 and 45981.

How to find the GCF of 45972 and 45981?

We will first find the prime factorization of 45972 and 45981. After we will calculate the factors of 45972 and 45981 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 45981

Prime factors of 45981 are 3, 13, 131. Prime factorization of 45981 in exponential form is:

45981 = 3³ × 13¹ × 131¹

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 45981

List of positive integer factors of 45981 that divides 45972 without a remainder.

1, 3, 9, 13, 27, 39, 117, 131, 351, 393, 1179, 1703, 3537, 5109, 15327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45972 and 45981. The biggest common factor number is the GCF number.
So the greatest common factor 45972 and 45981 is 9.

Also check out the Least Common Multiple of 45972 and 45981