What is the Greatest Common Factor of 28140 and 28153?

Greatest common factor (GCF) of 28140 and 28153 is 1.

GCF(28140,28153) = 1

We will now calculate the prime factors of 28140 and 28153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28140 and 28153.

How to find the GCF of 28140 and 28153?

We will first find the prime factorization of 28140 and 28153. After we will calculate the factors of 28140 and 28153 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 28153

Prime factors of 28153 are 47, 599. Prime factorization of 28153 in exponential form is:

28153 = 47¹ × 599¹

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 28153

List of positive integer factors of 28153 that divides 28140 without a remainder.

1, 47, 599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28140 and 28153. The biggest common factor number is the GCF number.
So the greatest common factor 28140 and 28153 is 1.

Also check out the Least Common Multiple of 28140 and 28153