What is the Greatest Common Factor of 34662 and 34677?

Greatest common factor (GCF) of 34662 and 34677 is 3.

GCF(34662,34677) = 3

We will now calculate the prime factors of 34662 and 34677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34662 and 34677.

How to find the GCF of 34662 and 34677?

We will first find the prime factorization of 34662 and 34677. After we will calculate the factors of 34662 and 34677 and find the biggest common factor number .

Step-1: Prime Factorization of 34662

Prime factors of 34662 are 2, 3, 53, 109. Prime factorization of 34662 in exponential form is:

34662 = 2¹ × 3¹ × 53¹ × 109¹

Step-2: Prime Factorization of 34677

Prime factors of 34677 are 3, 3853. Prime factorization of 34677 in exponential form is:

34677 = 3² × 3853¹

Step-3: Factors of 34662

List of positive integer factors of 34662 that divides 34662 without a remainder.

1, 2, 3, 6, 53, 106, 109, 159, 218, 318, 327, 654, 5777, 11554, 17331

Step-4: Factors of 34677

List of positive integer factors of 34677 that divides 34662 without a remainder.

1, 3, 9, 3853, 11559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34662 and 34677. The biggest common factor number is the GCF number.
So the greatest common factor 34662 and 34677 is 3.

Also check out the Least Common Multiple of 34662 and 34677