What is the Greatest Common Factor of 28140 and 28151?

Greatest common factor (GCF) of 28140 and 28151 is 1.

GCF(28140,28151) = 1

We will now calculate the prime factors of 28140 and 28151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28140 and 28151.

How to find the GCF of 28140 and 28151?

We will first find the prime factorization of 28140 and 28151. After we will calculate the factors of 28140 and 28151 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 28151

Prime factors of 28151 are 28151. Prime factorization of 28151 in exponential form is:

28151 = 28151¹

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 28151

List of positive integer factors of 28151 that divides 28140 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28140 and 28151. The biggest common factor number is the GCF number.
So the greatest common factor 28140 and 28151 is 1.

Also check out the Least Common Multiple of 28140 and 28151