What is the Greatest Common Factor of 5100 and 5108?

Greatest common factor (GCF) of 5100 and 5108 is 4.

GCF(5100,5108) = 4

We will now calculate the prime factors of 5100 and 5108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5100 and 5108.

How to find the GCF of 5100 and 5108?

We will first find the prime factorization of 5100 and 5108. After we will calculate the factors of 5100 and 5108 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 5108

Prime factors of 5108 are 2, 1277. Prime factorization of 5108 in exponential form is:

5108 = 2² × 1277¹

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 5108

List of positive integer factors of 5108 that divides 5100 without a remainder.

1, 2, 4, 1277, 2554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5100 and 5108. The biggest common factor number is the GCF number.
So the greatest common factor 5100 and 5108 is 4.

Also check out the Least Common Multiple of 5100 and 5108