What is the Greatest Common Factor of 28628 and 28634?

Greatest common factor (GCF) of 28628 and 28634 is 2.

GCF(28628,28634) = 2

We will now calculate the prime factors of 28628 and 28634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28628 and 28634.

How to find the GCF of 28628 and 28634?

We will first find the prime factorization of 28628 and 28634. After we will calculate the factors of 28628 and 28634 and find the biggest common factor number .

Step-1: Prime Factorization of 28628

Prime factors of 28628 are 2, 17, 421. Prime factorization of 28628 in exponential form is:

28628 = 2² × 17¹ × 421¹

Step-2: Prime Factorization of 28634

Prime factors of 28634 are 2, 103, 139. Prime factorization of 28634 in exponential form is:

28634 = 2¹ × 103¹ × 139¹

Step-3: Factors of 28628

List of positive integer factors of 28628 that divides 28628 without a remainder.

1, 2, 4, 17, 34, 68, 421, 842, 1684, 7157, 14314

Step-4: Factors of 28634

List of positive integer factors of 28634 that divides 28628 without a remainder.

1, 2, 103, 139, 206, 278, 14317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28628 and 28634. The biggest common factor number is the GCF number.
So the greatest common factor 28628 and 28634 is 2.

Also check out the Least Common Multiple of 28628 and 28634