Greatest Common Factor of 3116 and 3124

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 3116, 3124 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3116 and 3124 is 4.

GCF(3116,3124) = 4

GCF of 3116 and 3124

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

GCF of:
and

Greatest Common Factor of 3116 and 3124

GCF of 3116 and 3124 is 4

Prime Factorization of 3116


2 3116
2 1558
19 779
41 41
1

Prime factors of 3116 are 2,19,41. Prime factorization of 3116 in exponential form is:

3116 = 22×191×411

Prime Factorization of 3124


2 3124
2 1562
11 781
71 71
1

Prime factors of 3124 are 2,11,71. Prime factorization of 3124 in exponential form is:

3124 = 22×111×711

∴ So by taking common prime factors GCF of 3116 and 3124 is 4

Greatest Common Factor of 3116 and 3124 by matching factors method

Factors of 3116

List of positive integer factors of 3116 that divides 3116 without a remainder.

1,2,4,19,38,41,76,82,164,779,1558,3116

Factors of 3124

List of positive integer factors of 3124 that divides 3124 without a remainder.

1,2,4,11,22,44,71,142,284,781,1562,3124

Greatest Common Factor

We found the factors and prime factorization of 3116 and 3124. The biggest common factor number is the GCF number.
So the greatest common factor 3116 and 3124 is 4.

Also check out the Least Common Multiple of 3116 and 3124

Properties of GCF 3116 and 3124

(i) The GCF of 3116 and 3124 is associative

GCF of 3116 and 3124 = GCF of 3124 and 3116

Related Greatest Common Factor of 3116

Related Greatest Common Factor of 3124

Frequently Asked Questions on GCF of 3116 and 3124

1. What is the GCF of 3116 and 3124?

Answer: GCF of 3116 and 3124 is 4.

2. What are the Factors of 3116?

Answer: Factors of 3116 are 1, 2, 4, 19, 38, 41, 76, 82, 164, 779, 1558, 3116. There are 12 integers that are factors of 3116. The greatest factor of 3116 is 3116.

3. What are the Factors of 3124?

Answer: Factors of 3124 are 1, 2, 4, 11, 22, 44, 71, 142, 284, 781, 1562, 3124. There are 12 integers that are factors of 3124. The greatest factor of 3124 is 3124.

4. How to Find the GCF of 3116 and 3124?

Answer:

Greatest Common Factor of 3116 and 3124 = 4

Step 1: Find the prime factorization of 3116

3116 = 2 x 2 x 19 x 41

Step 2: Find the prime factorization of 3124

3124 = 2 x 2 x 11 x 71

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 3116 and 3124 is 4