Greatest Common Factor of 5112 and 5116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 5112, 5116 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5112 and 5116 is 4.

GCF(5112,5116) = 4

GCF of 5112 and 5116

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 5112 and 5116

GCF of 5112 and 5116 is 4

Prime Factorization of 5112


2 5112
2 2556
2 1278
3 639
3 213
71 71
1

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

5112 = 23×32×711

Prime Factorization of 5116


2 5116
2 2558
1279 1279
1

Prime factors of 5116 are 2,1279. Prime factorization of 5116 in exponential form is:

5116 = 22×12791

∴ So by taking common prime factors GCF of 5112 and 5116 is 4

Greatest Common Factor of 5112 and 5116 by matching factors method

Factors of 5112

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

1,2,3,4,6,8,9,12,18,24,36,71,72,142,213,284,426,568,639,852,1278,1704,2556,5112

Factors of 5116

List of positive integer factors of 5116 that divides 5116 without a remainder.

1,2,4,1279,2558,5116

Greatest Common Factor

We found the factors and prime factorization of 5112 and 5116. The biggest common factor number is the GCF number.
So the greatest common factor 5112 and 5116 is 4.

Also check out the Least Common Multiple of 5112 and 5116

Properties of GCF 5112 and 5116

(i) The GCF of 5112 and 5116 is associative

GCF of 5112 and 5116 = GCF of 5116 and 5112

Related Greatest Common Factor of 5112

Related Greatest Common Factor of 5116

Frequently Asked Questions on GCF of 5112 and 5116

1. What is the GCF of 5112 and 5116?

Answer: GCF of 5112 and 5116 is 4.

2. What are the Factors of 5112?

Answer: Factors of 5112 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 71, 72, 142, 213, 284, 426, 568, 639, 852, 1278, 1704, 2556, 5112. There are 24 integers that are factors of 5112. The greatest factor of 5112 is 5112.

3. What are the Factors of 5116?

Answer: Factors of 5116 are 1, 2, 4, 1279, 2558, 5116. There are 6 integers that are factors of 5116. The greatest factor of 5116 is 5116.

4. How to Find the GCF of 5112 and 5116?

Answer:

Greatest Common Factor of 5112 and 5116 = 4

Step 1: Find the prime factorization of 5112

5112 = 2 x 2 x 2 x 3 x 3 x 71

Step 2: Find the prime factorization of 5116

5116 = 2 x 2 x 1279

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5112 and 5116 is 4