Greatest Common Factor of 5109 and 5112

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 5109, 5112 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5109 and 5112 is 3.

GCF(5109,5112) = 3

GCF of 5109 and 5112

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

GCF of:
and

Greatest Common Factor of 5109 and 5112

GCF of 5109 and 5112 is 3

Prime Factorization of 5109


3 5109
13 1703
131 131
1

Prime factors of 5109 are 3,13,131. Prime factorization of 5109 in exponential form is:

5109 = 31×131×1311

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

∴ So by taking common prime factors GCF of 5109 and 5112 is 3

Greatest Common Factor of 5109 and 5112 by matching factors method

Factors of 5109

List of positive integer factors of 5109 that divides 5109 without a remainder.

1,3,13,39,131,393,1703,5109

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

Greatest Common Factor

We found the factors and prime factorization of 5109 and 5112. The biggest common factor number is the GCF number.
So the greatest common factor 5109 and 5112 is 3.

Also check out the Least Common Multiple of 5109 and 5112

Properties of GCF 5109 and 5112

(i) The GCF of 5109 and 5112 is associative

GCF of 5109 and 5112 = GCF of 5112 and 5109

Related Greatest Common Factor of 5109

Related Greatest Common Factor of 5112

Frequently Asked Questions on GCF of 5109 and 5112

1. What is the GCF of 5109 and 5112?

Answer: GCF of 5109 and 5112 is 3.

2. What are the Factors of 5109?

Answer: Factors of 5109 are 1, 3, 13, 39, 131, 393, 1703, 5109. There are 8 integers that are factors of 5109. The greatest factor of 5109 is 5109.

3. 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.

4. How to Find the GCF of 5109 and 5112?

Answer:

Greatest Common Factor of 5109 and 5112 = 3

Step 1: Find the prime factorization of 5109

5109 = 3 x 13 x 131

Step 2: Find the prime factorization of 5112

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

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

GCF = 3

Step 4: Therefore, the greatest common factor of 5109 and 5112 is 3