What is the Greatest Common Factor of 28139 and 28148?

Greatest common factor (GCF) of 28139 and 28148 is 1.

GCF(28139,28148) = 1

We will now calculate the prime factors of 28139 and 28148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28139 and 28148.

How to find the GCF of 28139 and 28148?

We will first find the prime factorization of 28139 and 28148. After we will calculate the factors of 28139 and 28148 and find the biggest common factor number .

Step-1: Prime Factorization of 28139

Prime factors of 28139 are 19, 1481. Prime factorization of 28139 in exponential form is:

28139 = 19¹ × 1481¹

Step-2: Prime Factorization of 28148

Prime factors of 28148 are 2, 31, 227. Prime factorization of 28148 in exponential form is:

28148 = 2² × 31¹ × 227¹

Step-3: Factors of 28139

List of positive integer factors of 28139 that divides 28139 without a remainder.

1, 19, 1481

Step-4: Factors of 28148

List of positive integer factors of 28148 that divides 28139 without a remainder.

1, 2, 4, 31, 62, 124, 227, 454, 908, 7037, 14074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28139 and 28148. The biggest common factor number is the GCF number.
So the greatest common factor 28139 and 28148 is 1.

Also check out the Least Common Multiple of 28139 and 28148