What is the Greatest Common Factor of 32634 and 32646?

Greatest common factor (GCF) of 32634 and 32646 is 6.

GCF(32634,32646) = 6

We will now calculate the prime factors of 32634 and 32646, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32634 and 32646.

How to find the GCF of 32634 and 32646?

We will first find the prime factorization of 32634 and 32646. After we will calculate the factors of 32634 and 32646 and find the biggest common factor number .

Step-1: Prime Factorization of 32634

Prime factors of 32634 are 2, 3, 7, 37. Prime factorization of 32634 in exponential form is:

32634 = 2¹ × 3² × 7² × 37¹

Step-2: Prime Factorization of 32646

Prime factors of 32646 are 2, 3, 5441. Prime factorization of 32646 in exponential form is:

32646 = 2¹ × 3¹ × 5441¹

Step-3: Factors of 32634

List of positive integer factors of 32634 that divides 32634 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 37, 42, 49, 63, 74, 98, 111, 126, 147, 222, 259, 294, 333, 441, 518, 666, 777, 882, 1554, 1813, 2331, 3626, 4662, 5439, 10878, 16317

Step-4: Factors of 32646

List of positive integer factors of 32646 that divides 32634 without a remainder.

1, 2, 3, 6, 5441, 10882, 16323

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32634 and 32646. The biggest common factor number is the GCF number.
So the greatest common factor 32634 and 32646 is 6.

Also check out the Least Common Multiple of 32634 and 32646