What is the Greatest Common Factor of 56854 and 56868?

Greatest common factor (GCF) of 56854 and 56868 is 14.

GCF(56854,56868) = 14

We will now calculate the prime factors of 56854 and 56868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56854 and 56868.

How to find the GCF of 56854 and 56868?

We will first find the prime factorization of 56854 and 56868. After we will calculate the factors of 56854 and 56868 and find the biggest common factor number .

Step-1: Prime Factorization of 56854

Prime factors of 56854 are 2, 7, 31, 131. Prime factorization of 56854 in exponential form is:

56854 = 2¹ × 7¹ × 31¹ × 131¹

Step-2: Prime Factorization of 56868

Prime factors of 56868 are 2, 3, 7, 677. Prime factorization of 56868 in exponential form is:

56868 = 2² × 3¹ × 7¹ × 677¹

Step-3: Factors of 56854

List of positive integer factors of 56854 that divides 56854 without a remainder.

1, 2, 7, 14, 31, 62, 131, 217, 262, 434, 917, 1834, 4061, 8122, 28427

Step-4: Factors of 56868

List of positive integer factors of 56868 that divides 56854 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 677, 1354, 2031, 2708, 4062, 4739, 8124, 9478, 14217, 18956, 28434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56854 and 56868. The biggest common factor number is the GCF number.
So the greatest common factor 56854 and 56868 is 14.

Also check out the Least Common Multiple of 56854 and 56868