What is the Greatest Common Factor of 56460 and 56472?

Greatest common factor (GCF) of 56460 and 56472 is 12.

GCF(56460,56472) = 12

We will now calculate the prime factors of 56460 and 56472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56460 and 56472.

How to find the GCF of 56460 and 56472?

We will first find the prime factorization of 56460 and 56472. After we will calculate the factors of 56460 and 56472 and find the biggest common factor number .

Step-1: Prime Factorization of 56460

Prime factors of 56460 are 2, 3, 5, 941. Prime factorization of 56460 in exponential form is:

56460 = 2² × 3¹ × 5¹ × 941¹

Step-2: Prime Factorization of 56472

Prime factors of 56472 are 2, 3, 13, 181. Prime factorization of 56472 in exponential form is:

56472 = 2³ × 3¹ × 13¹ × 181¹

Step-3: Factors of 56460

List of positive integer factors of 56460 that divides 56460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 941, 1882, 2823, 3764, 4705, 5646, 9410, 11292, 14115, 18820, 28230

Step-4: Factors of 56472

List of positive integer factors of 56472 that divides 56460 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 181, 312, 362, 543, 724, 1086, 1448, 2172, 2353, 4344, 4706, 7059, 9412, 14118, 18824, 28236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56460 and 56472. The biggest common factor number is the GCF number.
So the greatest common factor 56460 and 56472 is 12.

Also check out the Least Common Multiple of 56460 and 56472