What is the Greatest Common Factor of 6138 and 6153?

Greatest common factor (GCF) of 6138 and 6153 is 3.

GCF(6138,6153) = 3

We will now calculate the prime factors of 6138 and 6153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6138 and 6153.

How to find the GCF of 6138 and 6153?

We will first find the prime factorization of 6138 and 6153. After we will calculate the factors of 6138 and 6153 and find the biggest common factor number .

Step-1: Prime Factorization of 6138

Prime factors of 6138 are 2, 3, 11, 31. Prime factorization of 6138 in exponential form is:

6138 = 2¹ × 3² × 11¹ × 31¹

Step-2: Prime Factorization of 6153

Prime factors of 6153 are 3, 7, 293. Prime factorization of 6153 in exponential form is:

6153 = 3¹ × 7¹ × 293¹

Step-3: Factors of 6138

List of positive integer factors of 6138 that divides 6138 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 31, 33, 62, 66, 93, 99, 186, 198, 279, 341, 558, 682, 1023, 2046, 3069

Step-4: Factors of 6153

List of positive integer factors of 6153 that divides 6138 without a remainder.

1, 3, 7, 21, 293, 879, 2051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6138 and 6153. The biggest common factor number is the GCF number.
So the greatest common factor 6138 and 6153 is 3.

Also check out the Least Common Multiple of 6138 and 6153