What is the Greatest Common Factor of 56472 and 56485?

Greatest common factor (GCF) of 56472 and 56485 is 13.

GCF(56472,56485) = 13

We will now calculate the prime factors of 56472 and 56485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56472 and 56485.

How to find the GCF of 56472 and 56485?

We will first find the prime factorization of 56472 and 56485. After we will calculate the factors of 56472 and 56485 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56485

Prime factors of 56485 are 5, 11, 13, 79. Prime factorization of 56485 in exponential form is:

56485 = 5¹ × 11¹ × 13¹ × 79¹

Step-3: Factors of 56472

List of positive integer factors of 56472 that divides 56472 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

Step-4: Factors of 56485

List of positive integer factors of 56485 that divides 56472 without a remainder.

1, 5, 11, 13, 55, 65, 79, 143, 395, 715, 869, 1027, 4345, 5135, 11297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56472 and 56485. The biggest common factor number is the GCF number.
So the greatest common factor 56472 and 56485 is 13.

Also check out the Least Common Multiple of 56472 and 56485