What is the Greatest Common Factor of 28126 and 28139?

Greatest common factor (GCF) of 28126 and 28139 is 1.

GCF(28126,28139) = 1

We will now calculate the prime factors of 28126 and 28139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28126 and 28139.

How to find the GCF of 28126 and 28139?

We will first find the prime factorization of 28126 and 28139. After we will calculate the factors of 28126 and 28139 and find the biggest common factor number .

Step-1: Prime Factorization of 28126

Prime factors of 28126 are 2, 7, 41. Prime factorization of 28126 in exponential form is:

28126 = 2¹ × 7³ × 41¹

Step-2: Prime Factorization of 28139

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

28139 = 19¹ × 1481¹

Step-3: Factors of 28126

List of positive integer factors of 28126 that divides 28126 without a remainder.

1, 2, 7, 14, 41, 49, 82, 98, 287, 343, 574, 686, 2009, 4018, 14063

Step-4: Factors of 28139

List of positive integer factors of 28139 that divides 28126 without a remainder.

1, 19, 1481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28126 and 28139. The biggest common factor number is the GCF number.
So the greatest common factor 28126 and 28139 is 1.

Also check out the Least Common Multiple of 28126 and 28139