What is the Greatest Common Factor of 56680 and 56690?

Greatest common factor (GCF) of 56680 and 56690 is 10.

GCF(56680,56690) = 10

We will now calculate the prime factors of 56680 and 56690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56680 and 56690.

How to find the GCF of 56680 and 56690?

We will first find the prime factorization of 56680 and 56690. After we will calculate the factors of 56680 and 56690 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 56690

Prime factors of 56690 are 2, 5, 5669. Prime factorization of 56690 in exponential form is:

56690 = 2¹ × 5¹ × 5669¹

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 56690

List of positive integer factors of 56690 that divides 56680 without a remainder.

1, 2, 5, 10, 5669, 11338, 28345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56680 and 56690. The biggest common factor number is the GCF number.
So the greatest common factor 56680 and 56690 is 10.

Also check out the Least Common Multiple of 56680 and 56690