Greatest Common Factor of 2635 and 2640

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 2635, 2640 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2635 and 2640 is 5.

GCF(2635,2640) = 5

GCF of 2635 and 2640

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

GCF of:
and

Greatest Common Factor of 2635 and 2640

GCF of 2635 and 2640 is 5

Prime Factorization of 2635


5 2635
17 527
31 31
1

Prime factors of 2635 are 5,17,31. Prime factorization of 2635 in exponential form is:

2635 = 51×171×311

Prime Factorization of 2640


2 2640
2 1320
2 660
2 330
3 165
5 55
11 11
1

Prime factors of 2640 are 2,3,5,11. Prime factorization of 2640 in exponential form is:

2640 = 24×31×51×111

∴ So by taking common prime factors GCF of 2635 and 2640 is 5

Greatest Common Factor of 2635 and 2640 by matching factors method

Factors of 2635

List of positive integer factors of 2635 that divides 2635 without a remainder.

1,5,17,31,85,155,527,2635

Factors of 2640

List of positive integer factors of 2640 that divides 2640 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,33,40,44,48,55,60,66,80,88,110,120,132,165,176,220,240,264,330,440,528,660,880,1320,2640

Greatest Common Factor

We found the factors and prime factorization of 2635 and 2640. The biggest common factor number is the GCF number.
So the greatest common factor 2635 and 2640 is 5.

Also check out the Least Common Multiple of 2635 and 2640

Properties of GCF 2635 and 2640

(i) The GCF of 2635 and 2640 is associative

GCF of 2635 and 2640 = GCF of 2640 and 2635

Related Greatest Common Factor of 2635

Related Greatest Common Factor of 2640

Frequently Asked Questions on GCF of 2635 and 2640

1. What is the GCF of 2635 and 2640?

Answer: GCF of 2635 and 2640 is 5.

2. What are the Factors of 2635?

Answer: Factors of 2635 are 1, 5, 17, 31, 85, 155, 527, 2635. There are 8 integers that are factors of 2635. The greatest factor of 2635 is 2635.

3. What are the Factors of 2640?

Answer: Factors of 2640 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 33, 40, 44, 48, 55, 60, 66, 80, 88, 110, 120, 132, 165, 176, 220, 240, 264, 330, 440, 528, 660, 880, 1320, 2640. There are 40 integers that are factors of 2640. The greatest factor of 2640 is 2640.

4. How to Find the GCF of 2635 and 2640?

Answer:

Greatest Common Factor of 2635 and 2640 = 5

Step 1: Find the prime factorization of 2635

2635 = 5 x 17 x 31

Step 2: Find the prime factorization of 2640

2640 = 2 x 2 x 2 x 2 x 3 x 5 x 11

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 2635 and 2640 is 5