What is the Greatest Common Factor of 15060 and 15076?

Greatest common factor (GCF) of 15060 and 15076 is 4.

GCF(15060,15076) = 4

We will now calculate the prime factors of 15060 and 15076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15060 and 15076.

How to find the GCF of 15060 and 15076?

We will first find the prime factorization of 15060 and 15076. After we will calculate the factors of 15060 and 15076 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15076

Prime factors of 15076 are 2, 3769. Prime factorization of 15076 in exponential form is:

15076 = 2² × 3769¹

Step-3: Factors of 15060

List of positive integer factors of 15060 that divides 15060 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

Step-4: Factors of 15076

List of positive integer factors of 15076 that divides 15060 without a remainder.

1, 2, 4, 3769, 7538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15060 and 15076. The biggest common factor number is the GCF number.
So the greatest common factor 15060 and 15076 is 4.

Also check out the Least Common Multiple of 15060 and 15076