What is the Greatest Common Factor of 56680 and 56698?

Greatest common factor (GCF) of 56680 and 56698 is 2.

GCF(56680,56698) = 2

We will now calculate the prime factors of 56680 and 56698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56680 and 56698.

How to find the GCF of 56680 and 56698?

We will first find the prime factorization of 56680 and 56698. After we will calculate the factors of 56680 and 56698 and find the biggest common factor number .

Step-1: Prime Factorization of 56680

Prime factors of 56680 are 2, 5, 13, 109. Prime factorization of 56680 in exponential form is:

56680 = 2³ × 5¹ × 13¹ × 109¹

Step-2: Prime Factorization of 56698

Prime factors of 56698 are 2, 28349. Prime factorization of 56698 in exponential form is:

56698 = 2¹ × 28349¹

Step-3: Factors of 56680

List of positive integer factors of 56680 that divides 56680 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 109, 130, 218, 260, 436, 520, 545, 872, 1090, 1417, 2180, 2834, 4360, 5668, 7085, 11336, 14170, 28340

Step-4: Factors of 56698

List of positive integer factors of 56698 that divides 56680 without a remainder.

1, 2, 28349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56680 and 56698. The biggest common factor number is the GCF number.
So the greatest common factor 56680 and 56698 is 2.

Also check out the Least Common Multiple of 56680 and 56698