What is the Greatest Common Factor of 34657 and 34668?

Greatest common factor (GCF) of 34657 and 34668 is 1.

GCF(34657,34668) = 1

We will now calculate the prime factors of 34657 and 34668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34657 and 34668.

How to find the GCF of 34657 and 34668?

We will first find the prime factorization of 34657 and 34668. After we will calculate the factors of 34657 and 34668 and find the biggest common factor number .

Step-1: Prime Factorization of 34657

Prime factors of 34657 are 7, 4951. Prime factorization of 34657 in exponential form is:

34657 = 7¹ × 4951¹

Step-2: Prime Factorization of 34668

Prime factors of 34668 are 2, 3, 107. Prime factorization of 34668 in exponential form is:

34668 = 2² × 3⁴ × 107¹

Step-3: Factors of 34657

List of positive integer factors of 34657 that divides 34657 without a remainder.

1, 7, 4951

Step-4: Factors of 34668

List of positive integer factors of 34668 that divides 34657 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 107, 108, 162, 214, 321, 324, 428, 642, 963, 1284, 1926, 2889, 3852, 5778, 8667, 11556, 17334

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34657 and 34668. The biggest common factor number is the GCF number.
So the greatest common factor 34657 and 34668 is 1.

Also check out the Least Common Multiple of 34657 and 34668