What is the Greatest Common Factor of 28535 and 28548?

Greatest common factor (GCF) of 28535 and 28548 is 13.

GCF(28535,28548) = 13

We will now calculate the prime factors of 28535 and 28548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28535 and 28548.

How to find the GCF of 28535 and 28548?

We will first find the prime factorization of 28535 and 28548. After we will calculate the factors of 28535 and 28548 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28548

Prime factors of 28548 are 2, 3, 13, 61. Prime factorization of 28548 in exponential form is:

28548 = 2² × 3² × 13¹ × 61¹

Step-3: Factors of 28535

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

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

Step-4: Factors of 28548

List of positive integer factors of 28548 that divides 28535 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 61, 78, 117, 122, 156, 183, 234, 244, 366, 468, 549, 732, 793, 1098, 1586, 2196, 2379, 3172, 4758, 7137, 9516, 14274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28535 and 28548. The biggest common factor number is the GCF number.
So the greatest common factor 28535 and 28548 is 13.

Also check out the Least Common Multiple of 28535 and 28548