What is the Greatest Common Factor of 45960 and 45972?

Greatest common factor (GCF) of 45960 and 45972 is 12.

GCF(45960,45972) = 12

We will now calculate the prime factors of 45960 and 45972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45960 and 45972.

How to find the GCF of 45960 and 45972?

We will first find the prime factorization of 45960 and 45972. After we will calculate the factors of 45960 and 45972 and find the biggest common factor number .

Step-1: Prime Factorization of 45960

Prime factors of 45960 are 2, 3, 5, 383. Prime factorization of 45960 in exponential form is:

45960 = 2³ × 3¹ × 5¹ × 383¹

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 45960

List of positive integer factors of 45960 that divides 45960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 383, 766, 1149, 1532, 1915, 2298, 3064, 3830, 4596, 5745, 7660, 9192, 11490, 15320, 22980

Step-4: Factors of 45972

List of positive integer factors of 45972 that divides 45960 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 45960 and 45972. The biggest common factor number is the GCF number.
So the greatest common factor 45960 and 45972 is 12.

Also check out the Least Common Multiple of 45960 and 45972