What is the Greatest Common Factor of 68657 and 68676?

Greatest common factor (GCF) of 68657 and 68676 is 1.

GCF(68657,68676) = 1

We will now calculate the prime factors of 68657 and 68676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68657 and 68676.

How to find the GCF of 68657 and 68676?

We will first find the prime factorization of 68657 and 68676. After we will calculate the factors of 68657 and 68676 and find the biggest common factor number .

Step-1: Prime Factorization of 68657

Prime factors of 68657 are 71, 967. Prime factorization of 68657 in exponential form is:

68657 = 71¹ × 967¹

Step-2: Prime Factorization of 68676

Prime factors of 68676 are 2, 3, 59, 97. Prime factorization of 68676 in exponential form is:

68676 = 2² × 3¹ × 59¹ × 97¹

Step-3: Factors of 68657

List of positive integer factors of 68657 that divides 68657 without a remainder.

1, 71, 967

Step-4: Factors of 68676

List of positive integer factors of 68676 that divides 68657 without a remainder.

1, 2, 3, 4, 6, 12, 59, 97, 118, 177, 194, 236, 291, 354, 388, 582, 708, 1164, 5723, 11446, 17169, 22892, 34338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68657 and 68676. The biggest common factor number is the GCF number.
So the greatest common factor 68657 and 68676 is 1.

Also check out the Least Common Multiple of 68657 and 68676