What is the Greatest Common Factor of 56641 and 56654?

Greatest common factor (GCF) of 56641 and 56654 is 13.

GCF(56641,56654) = 13

We will now calculate the prime factors of 56641 and 56654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56641 and 56654.

How to find the GCF of 56641 and 56654?

We will first find the prime factorization of 56641 and 56654. After we will calculate the factors of 56641 and 56654 and find the biggest common factor number .

Step-1: Prime Factorization of 56641

Prime factors of 56641 are 13, 4357. Prime factorization of 56641 in exponential form is:

56641 = 13¹ × 4357¹

Step-2: Prime Factorization of 56654

Prime factors of 56654 are 2, 13, 2179. Prime factorization of 56654 in exponential form is:

56654 = 2¹ × 13¹ × 2179¹

Step-3: Factors of 56641

List of positive integer factors of 56641 that divides 56641 without a remainder.

1, 13, 4357

Step-4: Factors of 56654

List of positive integer factors of 56654 that divides 56641 without a remainder.

1, 2, 13, 26, 2179, 4358, 28327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56641 and 56654. The biggest common factor number is the GCF number.
So the greatest common factor 56641 and 56654 is 13.

Also check out the Least Common Multiple of 56641 and 56654