What is the Greatest Common Factor of 28120 and 28139?

Greatest common factor (GCF) of 28120 and 28139 is 19.

GCF(28120,28139) = 19

We will now calculate the prime factors of 28120 and 28139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28120 and 28139.

How to find the GCF of 28120 and 28139?

We will first find the prime factorization of 28120 and 28139. After we will calculate the factors of 28120 and 28139 and find the biggest common factor number .

Step-1: Prime Factorization of 28120

Prime factors of 28120 are 2, 5, 19, 37. Prime factorization of 28120 in exponential form is:

28120 = 2³ × 5¹ × 19¹ × 37¹

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 28120

List of positive integer factors of 28120 that divides 28120 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 37, 38, 40, 74, 76, 95, 148, 152, 185, 190, 296, 370, 380, 703, 740, 760, 1406, 1480, 2812, 3515, 5624, 7030, 14060

Step-4: Factors of 28139

List of positive integer factors of 28139 that divides 28120 without a remainder.

1, 19, 1481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28120 and 28139. The biggest common factor number is the GCF number.
So the greatest common factor 28120 and 28139 is 19.

Also check out the Least Common Multiple of 28120 and 28139