What is the Greatest Common Factor of 28514 and 28528?

Greatest common factor (GCF) of 28514 and 28528 is 2.

GCF(28514,28528) = 2

We will now calculate the prime factors of 28514 and 28528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28514 and 28528.

How to find the GCF of 28514 and 28528?

We will first find the prime factorization of 28514 and 28528. After we will calculate the factors of 28514 and 28528 and find the biggest common factor number .

Step-1: Prime Factorization of 28514

Prime factors of 28514 are 2, 53, 269. Prime factorization of 28514 in exponential form is:

28514 = 2¹ × 53¹ × 269¹

Step-2: Prime Factorization of 28528

Prime factors of 28528 are 2, 1783. Prime factorization of 28528 in exponential form is:

28528 = 2⁴ × 1783¹

Step-3: Factors of 28514

List of positive integer factors of 28514 that divides 28514 without a remainder.

1, 2, 53, 106, 269, 538, 14257

Step-4: Factors of 28528

List of positive integer factors of 28528 that divides 28514 without a remainder.

1, 2, 4, 8, 16, 1783, 3566, 7132, 14264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28514 and 28528. The biggest common factor number is the GCF number.
So the greatest common factor 28514 and 28528 is 2.

Also check out the Least Common Multiple of 28514 and 28528