What is the Greatest Common Factor of 56849 and 56862?

Greatest common factor (GCF) of 56849 and 56862 is 13.

GCF(56849,56862) = 13

We will now calculate the prime factors of 56849 and 56862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56849 and 56862.

How to find the GCF of 56849 and 56862?

We will first find the prime factorization of 56849 and 56862. After we will calculate the factors of 56849 and 56862 and find the biggest common factor number .

Step-1: Prime Factorization of 56849

Prime factors of 56849 are 13, 4373. Prime factorization of 56849 in exponential form is:

56849 = 13¹ × 4373¹

Step-2: Prime Factorization of 56862

Prime factors of 56862 are 2, 3, 13. Prime factorization of 56862 in exponential form is:

56862 = 2¹ × 3⁷ × 13¹

Step-3: Factors of 56849

List of positive integer factors of 56849 that divides 56849 without a remainder.

1, 13, 4373

Step-4: Factors of 56862

List of positive integer factors of 56862 that divides 56849 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 243, 351, 486, 702, 729, 1053, 1458, 2106, 2187, 3159, 4374, 6318, 9477, 18954, 28431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56849 and 56862. The biggest common factor number is the GCF number.
So the greatest common factor 56849 and 56862 is 13.

Also check out the Least Common Multiple of 56849 and 56862