What is the Greatest Common Factor of 56874 and 56886?

Greatest common factor (GCF) of 56874 and 56886 is 6.

GCF(56874,56886) = 6

We will now calculate the prime factors of 56874 and 56886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56874 and 56886.

How to find the GCF of 56874 and 56886?

We will first find the prime factorization of 56874 and 56886. After we will calculate the factors of 56874 and 56886 and find the biggest common factor number .

Step-1: Prime Factorization of 56874

Prime factors of 56874 are 2, 3, 9479. Prime factorization of 56874 in exponential form is:

56874 = 2¹ × 3¹ × 9479¹

Step-2: Prime Factorization of 56886

Prime factors of 56886 are 2, 3, 19, 499. Prime factorization of 56886 in exponential form is:

56886 = 2¹ × 3¹ × 19¹ × 499¹

Step-3: Factors of 56874

List of positive integer factors of 56874 that divides 56874 without a remainder.

1, 2, 3, 6, 9479, 18958, 28437

Step-4: Factors of 56886

List of positive integer factors of 56886 that divides 56874 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 499, 998, 1497, 2994, 9481, 18962, 28443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56874 and 56886. The biggest common factor number is the GCF number.
So the greatest common factor 56874 and 56886 is 6.

Also check out the Least Common Multiple of 56874 and 56886