Greatest Common Factor of 3112 and 3120

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 3112, 3120 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3112 and 3120 is 8.

GCF(3112,3120) = 8

GCF of 3112 and 3120

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

GCF of:
and

Greatest Common Factor of 3112 and 3120

GCF of 3112 and 3120 is 8

Prime Factorization of 3112


2 3112
2 1556
2 778
389 389
1

Prime factors of 3112 are 2,389. Prime factorization of 3112 in exponential form is:

3112 = 23×3891

Prime Factorization of 3120


2 3120
2 1560
2 780
2 390
3 195
5 65
13 13
1

Prime factors of 3120 are 2,3,5,13. Prime factorization of 3120 in exponential form is:

3120 = 24×31×51×131

∴ So by taking common prime factors GCF of 3112 and 3120 is 8

Greatest Common Factor of 3112 and 3120 by matching factors method

Factors of 3112

List of positive integer factors of 3112 that divides 3112 without a remainder.

1,2,4,8,389,778,1556,3112

Factors of 3120

List of positive integer factors of 3120 that divides 3120 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,16,20,24,26,30,39,40,48,52,60,65,78,80,104,120,130,156,195,208,240,260,312,390,520,624,780,1040,1560,3120

Greatest Common Factor

We found the factors and prime factorization of 3112 and 3120. The biggest common factor number is the GCF number.
So the greatest common factor 3112 and 3120 is 8.

Also check out the Least Common Multiple of 3112 and 3120

Properties of GCF 3112 and 3120

(i) The GCF of 3112 and 3120 is associative

GCF of 3112 and 3120 = GCF of 3120 and 3112

Related Greatest Common Factor of 3112

Related Greatest Common Factor of 3120

Frequently Asked Questions on GCF of 3112 and 3120

1. What is the GCF of 3112 and 3120?

Answer: GCF of 3112 and 3120 is 8.

2. What are the Factors of 3112?

Answer: Factors of 3112 are 1, 2, 4, 8, 389, 778, 1556, 3112. There are 8 integers that are factors of 3112. The greatest factor of 3112 is 3112.

3. What are the Factors of 3120?

Answer: Factors of 3120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 39, 40, 48, 52, 60, 65, 78, 80, 104, 120, 130, 156, 195, 208, 240, 260, 312, 390, 520, 624, 780, 1040, 1560, 3120. There are 40 integers that are factors of 3120. The greatest factor of 3120 is 3120.

4. How to Find the GCF of 3112 and 3120?

Answer:

Greatest Common Factor of 3112 and 3120 = 8

Step 1: Find the prime factorization of 3112

3112 = 2 x 2 x 2 x 389

Step 2: Find the prime factorization of 3120

3120 = 2 x 2 x 2 x 2 x 3 x 5 x 13

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 3112 and 3120 is 8