What is the Greatest Common Factor of 32614 and 32628?

Greatest common factor (GCF) of 32614 and 32628 is 2.

GCF(32614,32628) = 2

We will now calculate the prime factors of 32614 and 32628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32614 and 32628.

How to find the GCF of 32614 and 32628?

We will first find the prime factorization of 32614 and 32628. After we will calculate the factors of 32614 and 32628 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 32628

Prime factors of 32628 are 2, 3, 2719. Prime factorization of 32628 in exponential form is:

32628 = 2² × 3¹ × 2719¹

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 32628

List of positive integer factors of 32628 that divides 32614 without a remainder.

1, 2, 3, 4, 6, 12, 2719, 5438, 8157, 10876, 16314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32614 and 32628. The biggest common factor number is the GCF number.
So the greatest common factor 32614 and 32628 is 2.

Also check out the Least Common Multiple of 32614 and 32628