Greatest Common Factor of 3120 and 3125

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, 3125 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3120 and 3125 is 5.

GCF(3120,3125) = 5

GCF of 3120 and 3125

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

GCF of:
and

Greatest Common Factor of 3120 and 3125

GCF of 3120 and 3125 is 5

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 3125


5 3125
5 625
5 125
5 25
5 5
1

Prime factors of 3125 are 5. Prime factorization of 3125 in exponential form is:

3125 = 55

∴ So by taking common prime factors GCF of 3120 and 3125 is 5

Greatest Common Factor of 3120 and 3125 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 3125

List of positive integer factors of 3125 that divides 3125 without a remainder.

1,5,25,125,625,3125

Greatest Common Factor

We found the factors and prime factorization of 3120 and 3125. The biggest common factor number is the GCF number.
So the greatest common factor 3120 and 3125 is 5.

Also check out the Least Common Multiple of 3120 and 3125

Properties of GCF 3120 and 3125

(i) The GCF of 3120 and 3125 is associative

GCF of 3120 and 3125 = GCF of 3125 and 3120

Related Greatest Common Factor of 3120

Related Greatest Common Factor of 3125

Frequently Asked Questions on GCF of 3120 and 3125

1. What is the GCF of 3120 and 3125?

Answer: GCF of 3120 and 3125 is 5.

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 3125?

Answer: Factors of 3125 are 1, 5, 25, 125, 625, 3125. There are 6 integers that are factors of 3125. The greatest factor of 3125 is 3125.

4. How to Find the GCF of 3120 and 3125?

Answer:

Greatest Common Factor of 3120 and 3125 = 5

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 3125

3125 = 5 x 5 x 5 x 5 x 5

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

GCF = 5

Step 4: Therefore, the greatest common factor of 3120 and 3125 is 5