What is the Greatest Common Factor of 28504 and 28516?

Greatest common factor (GCF) of 28504 and 28516 is 4.

GCF(28504,28516) = 4

We will now calculate the prime factors of 28504 and 28516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28504 and 28516.

How to find the GCF of 28504 and 28516?

We will first find the prime factorization of 28504 and 28516. After we will calculate the factors of 28504 and 28516 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 28516

Prime factors of 28516 are 2, 7129. Prime factorization of 28516 in exponential form is:

28516 = 2² × 7129¹

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 28516

List of positive integer factors of 28516 that divides 28504 without a remainder.

1, 2, 4, 7129, 14258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28504 and 28516. The biggest common factor number is the GCF number.
So the greatest common factor 28504 and 28516 is 4.

Also check out the Least Common Multiple of 28504 and 28516