What is the Greatest Common Factor of 28604 and 28622?

Greatest common factor (GCF) of 28604 and 28622 is 2.

GCF(28604,28622) = 2

We will now calculate the prime factors of 28604 and 28622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28604 and 28622.

How to find the GCF of 28604 and 28622?

We will first find the prime factorization of 28604 and 28622. After we will calculate the factors of 28604 and 28622 and find the biggest common factor number .

Step-1: Prime Factorization of 28604

Prime factors of 28604 are 2, 7151. Prime factorization of 28604 in exponential form is:

28604 = 2² × 7151¹

Step-2: Prime Factorization of 28622

Prime factors of 28622 are 2, 11, 1301. Prime factorization of 28622 in exponential form is:

28622 = 2¹ × 11¹ × 1301¹

Step-3: Factors of 28604

List of positive integer factors of 28604 that divides 28604 without a remainder.

1, 2, 4, 7151, 14302

Step-4: Factors of 28622

List of positive integer factors of 28622 that divides 28604 without a remainder.

1, 2, 11, 22, 1301, 2602, 14311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28604 and 28622. The biggest common factor number is the GCF number.
So the greatest common factor 28604 and 28622 is 2.

Also check out the Least Common Multiple of 28604 and 28622