What is the Greatest Common Factor of 28112 and 28127?

Greatest common factor (GCF) of 28112 and 28127 is 1.

GCF(28112,28127) = 1

We will now calculate the prime factors of 28112 and 28127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28112 and 28127.

How to find the GCF of 28112 and 28127?

We will first find the prime factorization of 28112 and 28127. After we will calculate the factors of 28112 and 28127 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 28127

Prime factors of 28127 are 11, 2557. Prime factorization of 28127 in exponential form is:

28127 = 11¹ × 2557¹

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 28127

List of positive integer factors of 28127 that divides 28112 without a remainder.

1, 11, 2557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28112 and 28127. The biggest common factor number is the GCF number.
So the greatest common factor 28112 and 28127 is 1.

Also check out the Least Common Multiple of 28112 and 28127