What is the Greatest Common Factor of 28522 and 28540?

Greatest common factor (GCF) of 28522 and 28540 is 2.

GCF(28522,28540) = 2

We will now calculate the prime factors of 28522 and 28540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28522 and 28540.

How to find the GCF of 28522 and 28540?

We will first find the prime factorization of 28522 and 28540. After we will calculate the factors of 28522 and 28540 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 28540

Prime factors of 28540 are 2, 5, 1427. Prime factorization of 28540 in exponential form is:

28540 = 2² × 5¹ × 1427¹

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 28540

List of positive integer factors of 28540 that divides 28522 without a remainder.

1, 2, 4, 5, 10, 20, 1427, 2854, 5708, 7135, 14270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28522 and 28540. The biggest common factor number is the GCF number.
So the greatest common factor 28522 and 28540 is 2.

Also check out the Least Common Multiple of 28522 and 28540