What is the Greatest Common Factor of 34672 and 34683?

Greatest common factor (GCF) of 34672 and 34683 is 11.

GCF(34672,34683) = 11

We will now calculate the prime factors of 34672 and 34683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34672 and 34683.

How to find the GCF of 34672 and 34683?

We will first find the prime factorization of 34672 and 34683. After we will calculate the factors of 34672 and 34683 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34683

Prime factors of 34683 are 3, 11, 1051. Prime factorization of 34683 in exponential form is:

34683 = 3¹ × 11¹ × 1051¹

Step-3: Factors of 34672

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

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

Step-4: Factors of 34683

List of positive integer factors of 34683 that divides 34672 without a remainder.

1, 3, 11, 33, 1051, 3153, 11561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34672 and 34683. The biggest common factor number is the GCF number.
So the greatest common factor 34672 and 34683 is 11.

Also check out the Least Common Multiple of 34672 and 34683