What is the Greatest Common Factor of 28516 and 28522?

Greatest common factor (GCF) of 28516 and 28522 is 2.

GCF(28516,28522) = 2

We will now calculate the prime factors of 28516 and 28522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28516 and 28522.

How to find the GCF of 28516 and 28522?

We will first find the prime factorization of 28516 and 28522. After we will calculate the factors of 28516 and 28522 and find the biggest common factor number .

Step-1: Prime Factorization of 28516

Prime factors of 28516 are 2, 7129. Prime factorization of 28516 in exponential form is:

28516 = 2² × 7129¹

Step-2: Prime Factorization of 28522

Prime factors of 28522 are 2, 13, 1097. Prime factorization of 28522 in exponential form is:

28522 = 2¹ × 13¹ × 1097¹

Step-3: Factors of 28516

List of positive integer factors of 28516 that divides 28516 without a remainder.

1, 2, 4, 7129, 14258

Step-4: Factors of 28522

List of positive integer factors of 28522 that divides 28516 without a remainder.

1, 2, 13, 26, 1097, 2194, 14261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28516 and 28522. The biggest common factor number is the GCF number.
So the greatest common factor 28516 and 28522 is 2.

Also check out the Least Common Multiple of 28516 and 28522