What is the Greatest Common Factor of 5100 and 5115?

Greatest common factor (GCF) of 5100 and 5115 is 15.

GCF(5100,5115) = 15

We will now calculate the prime factors of 5100 and 5115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5100 and 5115.

How to find the GCF of 5100 and 5115?

We will first find the prime factorization of 5100 and 5115. After we will calculate the factors of 5100 and 5115 and find the biggest common factor number .

Step-1: Prime Factorization of 5100

Prime factors of 5100 are 2, 3, 5, 17. Prime factorization of 5100 in exponential form is:

5100 = 2² × 3¹ × 5² × 17¹

Step-2: Prime Factorization of 5115

Prime factors of 5115 are 3, 5, 11, 31. Prime factorization of 5115 in exponential form is:

5115 = 3¹ × 5¹ × 11¹ × 31¹

Step-3: Factors of 5100

List of positive integer factors of 5100 that divides 5100 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 300, 340, 425, 510, 850, 1020, 1275, 1700, 2550

Step-4: Factors of 5115

List of positive integer factors of 5115 that divides 5100 without a remainder.

1, 3, 5, 11, 15, 31, 33, 55, 93, 155, 165, 341, 465, 1023, 1705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5100 and 5115. The biggest common factor number is the GCF number.
So the greatest common factor 5100 and 5115 is 15.

Also check out the Least Common Multiple of 5100 and 5115