What is the Greatest Common Factor of 5108 and 5112?

Greatest common factor (GCF) of 5108 and 5112 is 4.

GCF(5108,5112) = 4

We will now calculate the prime factors of 5108 and 5112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5108 and 5112.

How to find the GCF of 5108 and 5112?

We will first find the prime factorization of 5108 and 5112. After we will calculate the factors of 5108 and 5112 and find the biggest common factor number .

Step-1: Prime Factorization of 5108

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

5108 = 2² × 1277¹

Step-2: Prime Factorization of 5112

Prime factors of 5112 are 2, 3, 71. Prime factorization of 5112 in exponential form is:

5112 = 2³ × 3² × 71¹

Step-3: Factors of 5108

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

1, 2, 4, 1277, 2554

Step-4: Factors of 5112

List of positive integer factors of 5112 that divides 5108 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 71, 72, 142, 213, 284, 426, 568, 639, 852, 1278, 1704, 2556

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5108 and 5112. The biggest common factor number is the GCF number.
So the greatest common factor 5108 and 5112 is 4.

Also check out the Least Common Multiple of 5108 and 5112