What is the Greatest Common Factor of 15138 and 15153?

Greatest common factor (GCF) of 15138 and 15153 is 3.

GCF(15138,15153) = 3

We will now calculate the prime factors of 15138 and 15153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15138 and 15153.

How to find the GCF of 15138 and 15153?

We will first find the prime factorization of 15138 and 15153. After we will calculate the factors of 15138 and 15153 and find the biggest common factor number .

Step-1: Prime Factorization of 15138

Prime factors of 15138 are 2, 3, 29. Prime factorization of 15138 in exponential form is:

15138 = 2¹ × 3² × 29²

Step-2: Prime Factorization of 15153

Prime factors of 15153 are 3, 5051. Prime factorization of 15153 in exponential form is:

15153 = 3¹ × 5051¹

Step-3: Factors of 15138

List of positive integer factors of 15138 that divides 15138 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522, 841, 1682, 2523, 5046, 7569

Step-4: Factors of 15153

List of positive integer factors of 15153 that divides 15138 without a remainder.

1, 3, 5051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15138 and 15153. The biggest common factor number is the GCF number.
So the greatest common factor 15138 and 15153 is 3.

Also check out the Least Common Multiple of 15138 and 15153