What is the Greatest Common Factor of 28516 and 28536?

Greatest common factor (GCF) of 28516 and 28536 is 4.

GCF(28516,28536) = 4

We will now calculate the prime factors of 28516 and 28536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28516 and 28536.

How to find the GCF of 28516 and 28536?

We will first find the prime factorization of 28516 and 28536. After we will calculate the factors of 28516 and 28536 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 28536

Prime factors of 28536 are 2, 3, 29, 41. Prime factorization of 28536 in exponential form is:

28536 = 2³ × 3¹ × 29¹ × 41¹

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 28536

List of positive integer factors of 28536 that divides 28516 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 41, 58, 82, 87, 116, 123, 164, 174, 232, 246, 328, 348, 492, 696, 984, 1189, 2378, 3567, 4756, 7134, 9512, 14268

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28516 and 28536. The biggest common factor number is the GCF number.
So the greatest common factor 28516 and 28536 is 4.

Also check out the Least Common Multiple of 28516 and 28536