What is the Greatest Common Factor of 56670 and 56680?

Greatest common factor (GCF) of 56670 and 56680 is 10.

GCF(56670,56680) = 10

We will now calculate the prime factors of 56670 and 56680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56670 and 56680.

How to find the GCF of 56670 and 56680?

We will first find the prime factorization of 56670 and 56680. After we will calculate the factors of 56670 and 56680 and find the biggest common factor number .

Step-1: Prime Factorization of 56670

Prime factors of 56670 are 2, 3, 5, 1889. Prime factorization of 56670 in exponential form is:

56670 = 2¹ × 3¹ × 5¹ × 1889¹

Step-2: 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-3: Factors of 56670

List of positive integer factors of 56670 that divides 56670 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1889, 3778, 5667, 9445, 11334, 18890, 28335

Step-4: Factors of 56680

List of positive integer factors of 56680 that divides 56670 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56670 and 56680. The biggest common factor number is the GCF number.
So the greatest common factor 56670 and 56680 is 10.

Also check out the Least Common Multiple of 56670 and 56680