What is the Greatest Common Factor of 32634 and 32651?

Greatest common factor (GCF) of 32634 and 32651 is 1.

GCF(32634,32651) = 1

We will now calculate the prime factors of 32634 and 32651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32634 and 32651.

How to find the GCF of 32634 and 32651?

We will first find the prime factorization of 32634 and 32651. After we will calculate the factors of 32634 and 32651 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 32651

Prime factors of 32651 are 103, 317. Prime factorization of 32651 in exponential form is:

32651 = 103¹ × 317¹

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 32651

List of positive integer factors of 32651 that divides 32634 without a remainder.

1, 103, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32634 and 32651. The biggest common factor number is the GCF number.
So the greatest common factor 32634 and 32651 is 1.

Also check out the Least Common Multiple of 32634 and 32651