What is the Greatest Common Factor of 28140 and 28144?

Greatest common factor (GCF) of 28140 and 28144 is 4.

GCF(28140,28144) = 4

We will now calculate the prime factors of 28140 and 28144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28140 and 28144.

How to find the GCF of 28140 and 28144?

We will first find the prime factorization of 28140 and 28144. After we will calculate the factors of 28140 and 28144 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28144

Prime factors of 28144 are 2, 1759. Prime factorization of 28144 in exponential form is:

28144 = 2⁴ × 1759¹

Step-3: Factors of 28140

List of positive integer factors of 28140 that divides 28140 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

Step-4: Factors of 28144

List of positive integer factors of 28144 that divides 28140 without a remainder.

1, 2, 4, 8, 16, 1759, 3518, 7036, 14072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28140 and 28144. The biggest common factor number is the GCF number.
So the greatest common factor 28140 and 28144 is 4.

Also check out the Least Common Multiple of 28140 and 28144