What is the Greatest Common Factor of 28102 and 28120?

Greatest common factor (GCF) of 28102 and 28120 is 2.

GCF(28102,28120) = 2

We will now calculate the prime factors of 28102 and 28120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28102 and 28120.

How to find the GCF of 28102 and 28120?

We will first find the prime factorization of 28102 and 28120. After we will calculate the factors of 28102 and 28120 and find the biggest common factor number .

Step-1: Prime Factorization of 28102

Prime factors of 28102 are 2, 14051. Prime factorization of 28102 in exponential form is:

28102 = 2¹ × 14051¹

Step-2: 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-3: Factors of 28102

List of positive integer factors of 28102 that divides 28102 without a remainder.

1, 2, 14051

Step-4: Factors of 28120

List of positive integer factors of 28120 that divides 28102 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28102 and 28120. The biggest common factor number is the GCF number.
So the greatest common factor 28102 and 28120 is 2.

Also check out the Least Common Multiple of 28102 and 28120