What is the Greatest Common Factor of 32614 and 32634?

Greatest common factor (GCF) of 32614 and 32634 is 2.

GCF(32614,32634) = 2

We will now calculate the prime factors of 32614 and 32634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32614 and 32634.

How to find the GCF of 32614 and 32634?

We will first find the prime factorization of 32614 and 32634. After we will calculate the factors of 32614 and 32634 and find the biggest common factor number .

Step-1: Prime Factorization of 32614

Prime factors of 32614 are 2, 23, 709. Prime factorization of 32614 in exponential form is:

32614 = 2¹ × 23¹ × 709¹

Step-2: 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-3: Factors of 32614

List of positive integer factors of 32614 that divides 32614 without a remainder.

1, 2, 23, 46, 709, 1418, 16307

Step-4: Factors of 32634

List of positive integer factors of 32634 that divides 32614 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32614 and 32634. The biggest common factor number is the GCF number.
So the greatest common factor 32614 and 32634 is 2.

Also check out the Least Common Multiple of 32614 and 32634