What is the Greatest Common Factor of 34661 and 34672?

Greatest common factor (GCF) of 34661 and 34672 is 11.

GCF(34661,34672) = 11

We will now calculate the prime factors of 34661 and 34672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34661 and 34672.

How to find the GCF of 34661 and 34672?

We will first find the prime factorization of 34661 and 34672. After we will calculate the factors of 34661 and 34672 and find the biggest common factor number .

Step-1: Prime Factorization of 34661

Prime factors of 34661 are 11, 23, 137. Prime factorization of 34661 in exponential form is:

34661 = 11¹ × 23¹ × 137¹

Step-2: Prime Factorization of 34672

Prime factors of 34672 are 2, 11, 197. Prime factorization of 34672 in exponential form is:

34672 = 2⁴ × 11¹ × 197¹

Step-3: Factors of 34661

List of positive integer factors of 34661 that divides 34661 without a remainder.

1, 11, 23, 137, 253, 1507, 3151

Step-4: Factors of 34672

List of positive integer factors of 34672 that divides 34661 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 197, 394, 788, 1576, 2167, 3152, 4334, 8668, 17336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34661 and 34672. The biggest common factor number is the GCF number.
So the greatest common factor 34661 and 34672 is 11.

Also check out the Least Common Multiple of 34661 and 34672