What is the Greatest Common Factor of 56693 and 56712?

Greatest common factor (GCF) of 56693 and 56712 is 1.

GCF(56693,56712) = 1

We will now calculate the prime factors of 56693 and 56712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56693 and 56712.

How to find the GCF of 56693 and 56712?

We will first find the prime factorization of 56693 and 56712. After we will calculate the factors of 56693 and 56712 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 56712

Prime factors of 56712 are 2, 3, 17, 139. Prime factorization of 56712 in exponential form is:

56712 = 2³ × 3¹ × 17¹ × 139¹

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 56712

List of positive integer factors of 56712 that divides 56693 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 139, 204, 278, 408, 417, 556, 834, 1112, 1668, 2363, 3336, 4726, 7089, 9452, 14178, 18904, 28356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56693 and 56712. The biggest common factor number is the GCF number.
So the greatest common factor 56693 and 56712 is 1.

Also check out the Least Common Multiple of 56693 and 56712