What is the Greatest Common Factor of 15054 and 15060?

Greatest common factor (GCF) of 15054 and 15060 is 6.

GCF(15054,15060) = 6

We will now calculate the prime factors of 15054 and 15060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15054 and 15060.

How to find the GCF of 15054 and 15060?

We will first find the prime factorization of 15054 and 15060. After we will calculate the factors of 15054 and 15060 and find the biggest common factor number .

Step-1: Prime Factorization of 15054

Prime factors of 15054 are 2, 3, 13, 193. Prime factorization of 15054 in exponential form is:

15054 = 2¹ × 3¹ × 13¹ × 193¹

Step-2: Prime Factorization of 15060

Prime factors of 15060 are 2, 3, 5, 251. Prime factorization of 15060 in exponential form is:

15060 = 2² × 3¹ × 5¹ × 251¹

Step-3: Factors of 15054

List of positive integer factors of 15054 that divides 15054 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 193, 386, 579, 1158, 2509, 5018, 7527

Step-4: Factors of 15060

List of positive integer factors of 15060 that divides 15054 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 251, 502, 753, 1004, 1255, 1506, 2510, 3012, 3765, 5020, 7530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15054 and 15060. The biggest common factor number is the GCF number.
So the greatest common factor 15054 and 15060 is 6.

Also check out the Least Common Multiple of 15054 and 15060