Greatest Common Factor of 3120 and 3128

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 3120, 3128 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3120 and 3128 is 8.

GCF(3120,3128) = 8

GCF of 3120 and 3128

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

GCF of:
and

Greatest Common Factor of 3120 and 3128

GCF of 3120 and 3128 is 8

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

Prime Factorization of 3128


2 3128
2 1564
2 782
17 391
23 23
1

Prime factors of 3128 are 2,17,23. Prime factorization of 3128 in exponential form is:

3128 = 23×171×231

∴ So by taking common prime factors GCF of 3120 and 3128 is 8

Greatest Common Factor of 3120 and 3128 by matching factors method

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

Factors of 3128

List of positive integer factors of 3128 that divides 3128 without a remainder.

1,2,4,8,17,23,34,46,68,92,136,184,391,782,1564,3128

Greatest Common Factor

We found the factors and prime factorization of 3120 and 3128. The biggest common factor number is the GCF number.
So the greatest common factor 3120 and 3128 is 8.

Also check out the Least Common Multiple of 3120 and 3128

Properties of GCF 3120 and 3128

(i) The GCF of 3120 and 3128 is associative

GCF of 3120 and 3128 = GCF of 3128 and 3120

Related Greatest Common Factor of 3120

Related Greatest Common Factor of 3128

Frequently Asked Questions on GCF of 3120 and 3128

1. What is the GCF of 3120 and 3128?

Answer: GCF of 3120 and 3128 is 8.

2. 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.

3. What are the Factors of 3128?

Answer: Factors of 3128 are 1, 2, 4, 8, 17, 23, 34, 46, 68, 92, 136, 184, 391, 782, 1564, 3128. There are 16 integers that are factors of 3128. The greatest factor of 3128 is 3128.

4. How to Find the GCF of 3120 and 3128?

Answer:

Greatest Common Factor of 3120 and 3128 = 8

Step 1: Find the prime factorization of 3120

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

Step 2: Find the prime factorization of 3128

3128 = 2 x 2 x 2 x 17 x 23

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 3120 and 3128 is 8