What is the Greatest Common Factor of 5112 and 5128?

Greatest common factor (GCF) of 5112 and 5128 is 8.

GCF(5112,5128) = 8

We will now calculate the prime factors of 5112 and 5128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5112 and 5128.

How to find the GCF of 5112 and 5128?

We will first find the prime factorization of 5112 and 5128. After we will calculate the factors of 5112 and 5128 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5128

Prime factors of 5128 are 2, 641. Prime factorization of 5128 in exponential form is:

5128 = 2³ × 641¹

Step-3: Factors of 5112

List of positive integer factors of 5112 that divides 5112 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

Step-4: Factors of 5128

List of positive integer factors of 5128 that divides 5112 without a remainder.

1, 2, 4, 8, 641, 1282, 2564

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5112 and 5128. The biggest common factor number is the GCF number.
So the greatest common factor 5112 and 5128 is 8.

Also check out the Least Common Multiple of 5112 and 5128