What is the Greatest Common Factor of 28514 and 28520?

Greatest common factor (GCF) of 28514 and 28520 is 2.

GCF(28514,28520) = 2

We will now calculate the prime factors of 28514 and 28520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28514 and 28520.

How to find the GCF of 28514 and 28520?

We will first find the prime factorization of 28514 and 28520. After we will calculate the factors of 28514 and 28520 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 28520

Prime factors of 28520 are 2, 5, 23, 31. Prime factorization of 28520 in exponential form is:

28520 = 2³ × 5¹ × 23¹ × 31¹

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 28520

List of positive integer factors of 28520 that divides 28514 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 31, 40, 46, 62, 92, 115, 124, 155, 184, 230, 248, 310, 460, 620, 713, 920, 1240, 1426, 2852, 3565, 5704, 7130, 14260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28514 and 28520. The biggest common factor number is the GCF number.
So the greatest common factor 28514 and 28520 is 2.

Also check out the Least Common Multiple of 28514 and 28520