What is the Greatest Common Factor of 56462 and 56472?

Greatest common factor (GCF) of 56462 and 56472 is 2.

GCF(56462,56472) = 2

We will now calculate the prime factors of 56462 and 56472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56462 and 56472.

How to find the GCF of 56462 and 56472?

We will first find the prime factorization of 56462 and 56472. After we will calculate the factors of 56462 and 56472 and find the biggest common factor number .

Step-1: Prime Factorization of 56462

Prime factors of 56462 are 2, 7, 37, 109. Prime factorization of 56462 in exponential form is:

56462 = 2¹ × 7¹ × 37¹ × 109¹

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 56462

List of positive integer factors of 56462 that divides 56462 without a remainder.

1, 2, 7, 14, 37, 74, 109, 218, 259, 518, 763, 1526, 4033, 8066, 28231

Step-4: Factors of 56472

List of positive integer factors of 56472 that divides 56462 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 56462 and 56472. The biggest common factor number is the GCF number.
So the greatest common factor 56462 and 56472 is 2.

Also check out the Least Common Multiple of 56462 and 56472