What is the Greatest Common Factor of 45954 and 45972?

Greatest common factor (GCF) of 45954 and 45972 is 18.

GCF(45954,45972) = 18

We will now calculate the prime factors of 45954 and 45972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45954 and 45972.

How to find the GCF of 45954 and 45972?

We will first find the prime factorization of 45954 and 45972. After we will calculate the factors of 45954 and 45972 and find the biggest common factor number .

Step-1: Prime Factorization of 45954

Prime factors of 45954 are 2, 3, 23, 37. Prime factorization of 45954 in exponential form is:

45954 = 2¹ × 3³ × 23¹ × 37¹

Step-2: 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-3: Factors of 45954

List of positive integer factors of 45954 that divides 45954 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 37, 46, 54, 69, 74, 111, 138, 207, 222, 333, 414, 621, 666, 851, 999, 1242, 1702, 1998, 2553, 5106, 7659, 15318, 22977

Step-4: Factors of 45972

List of positive integer factors of 45972 that divides 45954 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45954 and 45972. The biggest common factor number is the GCF number.
So the greatest common factor 45954 and 45972 is 18.

Also check out the Least Common Multiple of 45954 and 45972