Greatest Common Factor of 3117 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 3117, 3120 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3117 and 3120 is 3.

GCF(3117,3120) = 3

GCF of 3117 and 3120

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

GCF of:
and

Greatest Common Factor of 3117 and 3120

GCF of 3117 and 3120 is 3

Prime Factorization of 3117


3 3117
1039 1039
1

Prime factors of 3117 are 3,1039. Prime factorization of 3117 in exponential form is:

3117 = 31×10391

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 3117 and 3120 is 3

Greatest Common Factor of 3117 and 3120 by matching factors method

Factors of 3117

List of positive integer factors of 3117 that divides 3117 without a remainder.

1,3,1039,3117

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 3117 and 3120. The biggest common factor number is the GCF number.
So the greatest common factor 3117 and 3120 is 3.

Also check out the Least Common Multiple of 3117 and 3120

Properties of GCF 3117 and 3120

(i) The GCF of 3117 and 3120 is associative

GCF of 3117 and 3120 = GCF of 3120 and 3117

Related Greatest Common Factor of 3117

Related Greatest Common Factor of 3120

Frequently Asked Questions on GCF of 3117 and 3120

1. What is the GCF of 3117 and 3120?

Answer: GCF of 3117 and 3120 is 3.

2. What are the Factors of 3117?

Answer: Factors of 3117 are 1, 3, 1039, 3117. There are 4 integers that are factors of 3117. The greatest factor of 3117 is 3117.

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 3117 and 3120?

Answer:

Greatest Common Factor of 3117 and 3120 = 3

Step 1: Find the prime factorization of 3117

3117 = 3 x 1039

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 = 3

Step 4: Therefore, the greatest common factor of 3117 and 3120 is 3