What is the Greatest Common Factor of 28611 and 28622?

Greatest common factor (GCF) of 28611 and 28622 is 11.

GCF(28611,28622) = 11

We will now calculate the prime factors of 28611 and 28622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28611 and 28622.

How to find the GCF of 28611 and 28622?

We will first find the prime factorization of 28611 and 28622. After we will calculate the factors of 28611 and 28622 and find the biggest common factor number .

Step-1: Prime Factorization of 28611

Prime factors of 28611 are 3, 11, 17. Prime factorization of 28611 in exponential form is:

28611 = 3² × 11¹ × 17²

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 28611

List of positive integer factors of 28611 that divides 28611 without a remainder.

1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 289, 561, 867, 1683, 2601, 3179, 9537

Step-4: Factors of 28622

List of positive integer factors of 28622 that divides 28611 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28611 and 28622. The biggest common factor number is the GCF number.
So the greatest common factor 28611 and 28622 is 11.

Also check out the Least Common Multiple of 28611 and 28622