What is the Greatest Common Factor of 56680 and 56693?

Greatest common factor (GCF) of 56680 and 56693 is 13.

GCF(56680,56693) = 13

We will now calculate the prime factors of 56680 and 56693, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56680 and 56693.

How to find the GCF of 56680 and 56693?

We will first find the prime factorization of 56680 and 56693. After we will calculate the factors of 56680 and 56693 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 56693

Prime factors of 56693 are 7, 13, 89. Prime factorization of 56693 in exponential form is:

56693 = 7² × 13¹ × 89¹

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 56693

List of positive integer factors of 56693 that divides 56680 without a remainder.

1, 7, 13, 49, 89, 91, 623, 637, 1157, 4361, 8099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56680 and 56693. The biggest common factor number is the GCF number.
So the greatest common factor 56680 and 56693 is 13.

Also check out the Least Common Multiple of 56680 and 56693