What is the Greatest Common Factor of 3100 and 3108?

Greatest common factor (GCF) of 3100 and 3108 is 4.

GCF(3100,3108) = 4

We will now calculate the prime factors of 3100 and 3108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3100 and 3108.

How to find the GCF of 3100 and 3108?

We will first find the prime factorization of 3100 and 3108. After we will calculate the factors of 3100 and 3108 and find the biggest common factor number .

Step-1: Prime Factorization of 3100

Prime factors of 3100 are 2, 5, 31. Prime factorization of 3100 in exponential form is:

3100 = 2² × 5² × 31¹

Step-2: Prime Factorization of 3108

Prime factors of 3108 are 2, 3, 7, 37. Prime factorization of 3108 in exponential form is:

3108 = 2² × 3¹ × 7¹ × 37¹

Step-3: Factors of 3100

List of positive integer factors of 3100 that divides 3100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550

Step-4: Factors of 3108

List of positive integer factors of 3108 that divides 3100 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 37, 42, 74, 84, 111, 148, 222, 259, 444, 518, 777, 1036, 1554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3100 and 3108. The biggest common factor number is the GCF number.
So the greatest common factor 3100 and 3108 is 4.

Also check out the Least Common Multiple of 3100 and 3108