What is the Greatest Common Factor of 28624 and 28642?

Greatest common factor (GCF) of 28624 and 28642 is 2.

GCF(28624,28642) = 2

We will now calculate the prime factors of 28624 and 28642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28624 and 28642.

How to find the GCF of 28624 and 28642?

We will first find the prime factorization of 28624 and 28642. After we will calculate the factors of 28624 and 28642 and find the biggest common factor number .

Step-1: Prime Factorization of 28624

Prime factors of 28624 are 2, 1789. Prime factorization of 28624 in exponential form is:

28624 = 2⁴ × 1789¹

Step-2: Prime Factorization of 28642

Prime factors of 28642 are 2, 14321. Prime factorization of 28642 in exponential form is:

28642 = 2¹ × 14321¹

Step-3: Factors of 28624

List of positive integer factors of 28624 that divides 28624 without a remainder.

1, 2, 4, 8, 16, 1789, 3578, 7156, 14312

Step-4: Factors of 28642

List of positive integer factors of 28642 that divides 28624 without a remainder.

1, 2, 14321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28624 and 28642. The biggest common factor number is the GCF number.
So the greatest common factor 28624 and 28642 is 2.

Also check out the Least Common Multiple of 28624 and 28642