What is the Greatest Common Factor of 34587 and 34601?

Greatest common factor (GCF) of 34587 and 34601 is 7.

GCF(34587,34601) = 7

We will now calculate the prime factors of 34587 and 34601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34587 and 34601.

How to find the GCF of 34587 and 34601?

We will first find the prime factorization of 34587 and 34601. After we will calculate the factors of 34587 and 34601 and find the biggest common factor number .

Step-1: Prime Factorization of 34587

Prime factors of 34587 are 3, 7, 61. Prime factorization of 34587 in exponential form is:

34587 = 3⁴ × 7¹ × 61¹

Step-2: Prime Factorization of 34601

Prime factors of 34601 are 7, 4943. Prime factorization of 34601 in exponential form is:

34601 = 7¹ × 4943¹

Step-3: Factors of 34587

List of positive integer factors of 34587 that divides 34587 without a remainder.

1, 3, 7, 9, 21, 27, 61, 63, 81, 183, 189, 427, 549, 567, 1281, 1647, 3843, 4941, 11529

Step-4: Factors of 34601

List of positive integer factors of 34601 that divides 34587 without a remainder.

1, 7, 4943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34587 and 34601. The biggest common factor number is the GCF number.
So the greatest common factor 34587 and 34601 is 7.

Also check out the Least Common Multiple of 34587 and 34601