What is the Greatest Common Factor of 34587 and 34607?

Greatest common factor (GCF) of 34587 and 34607 is 1.

GCF(34587,34607) = 1

We will now calculate the prime factors of 34587 and 34607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34587 and 34607.

How to find the GCF of 34587 and 34607?

We will first find the prime factorization of 34587 and 34607. After we will calculate the factors of 34587 and 34607 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 34607

Prime factors of 34607 are 34607. Prime factorization of 34607 in exponential form is:

34607 = 34607¹

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 34607

List of positive integer factors of 34607 that divides 34587 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34587 and 34607. The biggest common factor number is the GCF number.
So the greatest common factor 34587 and 34607 is 1.

Also check out the Least Common Multiple of 34587 and 34607