What is the Greatest Common Factor of 56693 and 56707?

Greatest common factor (GCF) of 56693 and 56707 is 7.

GCF(56693,56707) = 7

We will now calculate the prime factors of 56693 and 56707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56693 and 56707.

How to find the GCF of 56693 and 56707?

We will first find the prime factorization of 56693 and 56707. After we will calculate the factors of 56693 and 56707 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56707

Prime factors of 56707 are 7, 8101. Prime factorization of 56707 in exponential form is:

56707 = 7¹ × 8101¹

Step-3: Factors of 56693

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

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

Step-4: Factors of 56707

List of positive integer factors of 56707 that divides 56693 without a remainder.

1, 7, 8101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56693 and 56707. The biggest common factor number is the GCF number.
So the greatest common factor 56693 and 56707 is 7.

Also check out the Least Common Multiple of 56693 and 56707