What is the Greatest Common Factor of 28112 and 28124?

Greatest common factor (GCF) of 28112 and 28124 is 4.

GCF(28112,28124) = 4

We will now calculate the prime factors of 28112 and 28124, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28112 and 28124.

How to find the GCF of 28112 and 28124?

We will first find the prime factorization of 28112 and 28124. After we will calculate the factors of 28112 and 28124 and find the biggest common factor number .

Step-1: Prime Factorization of 28112

Prime factors of 28112 are 2, 7, 251. Prime factorization of 28112 in exponential form is:

28112 = 2⁴ × 7¹ × 251¹

Step-2: Prime Factorization of 28124

Prime factors of 28124 are 2, 79, 89. Prime factorization of 28124 in exponential form is:

28124 = 2² × 79¹ × 89¹

Step-3: Factors of 28112

List of positive integer factors of 28112 that divides 28112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 251, 502, 1004, 1757, 2008, 3514, 4016, 7028, 14056

Step-4: Factors of 28124

List of positive integer factors of 28124 that divides 28112 without a remainder.

1, 2, 4, 79, 89, 158, 178, 316, 356, 7031, 14062

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28112 and 28124. The biggest common factor number is the GCF number.
So the greatest common factor 28112 and 28124 is 4.

Also check out the Least Common Multiple of 28112 and 28124