What is the Greatest Common Factor of 32634 and 32639?

Greatest common factor (GCF) of 32634 and 32639 is 1.

GCF(32634,32639) = 1

We will now calculate the prime factors of 32634 and 32639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32634 and 32639.

How to find the GCF of 32634 and 32639?

We will first find the prime factorization of 32634 and 32639. After we will calculate the factors of 32634 and 32639 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 32639

Prime factors of 32639 are 127, 257. Prime factorization of 32639 in exponential form is:

32639 = 127¹ × 257¹

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 32639

List of positive integer factors of 32639 that divides 32634 without a remainder.

1, 127, 257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32634 and 32639. The biggest common factor number is the GCF number.
So the greatest common factor 32634 and 32639 is 1.

Also check out the Least Common Multiple of 32634 and 32639