What is the Greatest Common Factor of 56836 and 56849?

Greatest common factor (GCF) of 56836 and 56849 is 13.

GCF(56836,56849) = 13

We will now calculate the prime factors of 56836 and 56849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56836 and 56849.

How to find the GCF of 56836 and 56849?

We will first find the prime factorization of 56836 and 56849. After we will calculate the factors of 56836 and 56849 and find the biggest common factor number .

Step-1: Prime Factorization of 56836

Prime factors of 56836 are 2, 13, 1093. Prime factorization of 56836 in exponential form is:

56836 = 2² × 13¹ × 1093¹

Step-2: Prime Factorization of 56849

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

56849 = 13¹ × 4373¹

Step-3: Factors of 56836

List of positive integer factors of 56836 that divides 56836 without a remainder.

1, 2, 4, 13, 26, 52, 1093, 2186, 4372, 14209, 28418

Step-4: Factors of 56849

List of positive integer factors of 56849 that divides 56836 without a remainder.

1, 13, 4373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56836 and 56849. The biggest common factor number is the GCF number.
So the greatest common factor 56836 and 56849 is 13.

Also check out the Least Common Multiple of 56836 and 56849