What is the Greatest Common Factor of 15138 and 15150?

Greatest common factor (GCF) of 15138 and 15150 is 6.

GCF(15138,15150) = 6

We will now calculate the prime factors of 15138 and 15150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15138 and 15150.

How to find the GCF of 15138 and 15150?

We will first find the prime factorization of 15138 and 15150. After we will calculate the factors of 15138 and 15150 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 15150

Prime factors of 15150 are 2, 3, 5, 101. Prime factorization of 15150 in exponential form is:

15150 = 2¹ × 3¹ × 5² × 101¹

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 15150

List of positive integer factors of 15150 that divides 15138 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 101, 150, 202, 303, 505, 606, 1010, 1515, 2525, 3030, 5050, 7575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15138 and 15150. The biggest common factor number is the GCF number.
So the greatest common factor 15138 and 15150 is 6.

Also check out the Least Common Multiple of 15138 and 15150