What is the Greatest Common Factor of 56874 and 56892?

Greatest common factor (GCF) of 56874 and 56892 is 6.

GCF(56874,56892) = 6

We will now calculate the prime factors of 56874 and 56892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56874 and 56892.

How to find the GCF of 56874 and 56892?

We will first find the prime factorization of 56874 and 56892. After we will calculate the factors of 56874 and 56892 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 56892

Prime factors of 56892 are 2, 3, 11, 431. Prime factorization of 56892 in exponential form is:

56892 = 2² × 3¹ × 11¹ × 431¹

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 56892

List of positive integer factors of 56892 that divides 56874 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 431, 862, 1293, 1724, 2586, 4741, 5172, 9482, 14223, 18964, 28446

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56874 and 56892. The biggest common factor number is the GCF number.
So the greatest common factor 56874 and 56892 is 6.

Also check out the Least Common Multiple of 56874 and 56892