What is the Greatest Common Factor of 28126 and 28140?

Greatest common factor (GCF) of 28126 and 28140 is 14.

GCF(28126,28140) = 14

We will now calculate the prime factors of 28126 and 28140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28126 and 28140.

How to find the GCF of 28126 and 28140?

We will first find the prime factorization of 28126 and 28140. After we will calculate the factors of 28126 and 28140 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 28140

Prime factors of 28140 are 2, 3, 5, 7, 67. Prime factorization of 28140 in exponential form is:

28140 = 2² × 3¹ × 5¹ × 7¹ × 67¹

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 28140

List of positive integer factors of 28140 that divides 28126 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 67, 70, 84, 105, 134, 140, 201, 210, 268, 335, 402, 420, 469, 670, 804, 938, 1005, 1340, 1407, 1876, 2010, 2345, 2814, 4020, 4690, 5628, 7035, 9380, 14070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28126 and 28140. The biggest common factor number is the GCF number.
So the greatest common factor 28126 and 28140 is 14.

Also check out the Least Common Multiple of 28126 and 28140