What is the Greatest Common Factor of 28522 and 28535?

Greatest common factor (GCF) of 28522 and 28535 is 13.

GCF(28522,28535) = 13

We will now calculate the prime factors of 28522 and 28535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28522 and 28535.

How to find the GCF of 28522 and 28535?

We will first find the prime factorization of 28522 and 28535. After we will calculate the factors of 28522 and 28535 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28535

Prime factors of 28535 are 5, 13, 439. Prime factorization of 28535 in exponential form is:

28535 = 5¹ × 13¹ × 439¹

Step-3: Factors of 28522

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

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

Step-4: Factors of 28535

List of positive integer factors of 28535 that divides 28522 without a remainder.

1, 5, 13, 65, 439, 2195, 5707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28522 and 28535. The biggest common factor number is the GCF number.
So the greatest common factor 28522 and 28535 is 13.

Also check out the Least Common Multiple of 28522 and 28535