What is the Greatest Common Factor of 34611 and 34629?

Greatest common factor (GCF) of 34611 and 34629 is 3.

GCF(34611,34629) = 3

We will now calculate the prime factors of 34611 and 34629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34611 and 34629.

How to find the GCF of 34611 and 34629?

We will first find the prime factorization of 34611 and 34629. After we will calculate the factors of 34611 and 34629 and find the biggest common factor number .

Step-1: Prime Factorization of 34611

Prime factors of 34611 are 3, 83, 139. Prime factorization of 34611 in exponential form is:

34611 = 3¹ × 83¹ × 139¹

Step-2: Prime Factorization of 34629

Prime factors of 34629 are 3, 7, 17, 97. Prime factorization of 34629 in exponential form is:

34629 = 3¹ × 7¹ × 17¹ × 97¹

Step-3: Factors of 34611

List of positive integer factors of 34611 that divides 34611 without a remainder.

1, 3, 83, 139, 249, 417, 11537

Step-4: Factors of 34629

List of positive integer factors of 34629 that divides 34611 without a remainder.

1, 3, 7, 17, 21, 51, 97, 119, 291, 357, 679, 1649, 2037, 4947, 11543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34611 and 34629. The biggest common factor number is the GCF number.
So the greatest common factor 34611 and 34629 is 3.

Also check out the Least Common Multiple of 34611 and 34629