What is the Greatest Common Factor of 28504 and 28514?

Greatest common factor (GCF) of 28504 and 28514 is 2.

GCF(28504,28514) = 2

We will now calculate the prime factors of 28504 and 28514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28504 and 28514.

How to find the GCF of 28504 and 28514?

We will first find the prime factorization of 28504 and 28514. After we will calculate the factors of 28504 and 28514 and find the biggest common factor number .

Step-1: Prime Factorization of 28504

Prime factors of 28504 are 2, 7, 509. Prime factorization of 28504 in exponential form is:

28504 = 2³ × 7¹ × 509¹

Step-2: 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-3: Factors of 28504

List of positive integer factors of 28504 that divides 28504 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 509, 1018, 2036, 3563, 4072, 7126, 14252

Step-4: Factors of 28514

List of positive integer factors of 28514 that divides 28504 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28504 and 28514. The biggest common factor number is the GCF number.
So the greatest common factor 28504 and 28514 is 2.

Also check out the Least Common Multiple of 28504 and 28514