Greatest Common Factor of 2602 and 2610

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 2602, 2610 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2602 and 2610 is 2.

GCF(2602,2610) = 2

GCF of 2602 and 2610

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

GCF of:
and

Greatest Common Factor of 2602 and 2610

GCF of 2602 and 2610 is 2

Prime Factorization of 2602


2 2602
1301 1301
1

Prime factors of 2602 are 2,1301. Prime factorization of 2602 in exponential form is:

2602 = 21×13011

Prime Factorization of 2610


2 2610
3 1305
3 435
5 145
29 29
1

Prime factors of 2610 are 2,3,5,29. Prime factorization of 2610 in exponential form is:

2610 = 21×32×51×291

∴ So by taking common prime factors GCF of 2602 and 2610 is 2

Greatest Common Factor of 2602 and 2610 by matching factors method

Factors of 2602

List of positive integer factors of 2602 that divides 2602 without a remainder.

1,2,1301,2602

Factors of 2610

List of positive integer factors of 2610 that divides 2610 without a remainder.

1,2,3,5,6,9,10,15,18,29,30,45,58,87,90,145,174,261,290,435,522,870,1305,2610

Greatest Common Factor

We found the factors and prime factorization of 2602 and 2610. The biggest common factor number is the GCF number.
So the greatest common factor 2602 and 2610 is 2.

Also check out the Least Common Multiple of 2602 and 2610

Properties of GCF 2602 and 2610

(i) The GCF of 2602 and 2610 is associative

GCF of 2602 and 2610 = GCF of 2610 and 2602

Related Greatest Common Factor of 2602

Related Greatest Common Factor of 2610

Frequently Asked Questions on GCF of 2602 and 2610

1. What is the GCF of 2602 and 2610?

Answer: GCF of 2602 and 2610 is 2.

2. What are the Factors of 2602?

Answer: Factors of 2602 are 1, 2, 1301, 2602. There are 4 integers that are factors of 2602. The greatest factor of 2602 is 2602.

3. What are the Factors of 2610?

Answer: Factors of 2610 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 29, 30, 45, 58, 87, 90, 145, 174, 261, 290, 435, 522, 870, 1305, 2610. There are 24 integers that are factors of 2610. The greatest factor of 2610 is 2610.

4. How to Find the GCF of 2602 and 2610?

Answer:

Greatest Common Factor of 2602 and 2610 = 2

Step 1: Find the prime factorization of 2602

2602 = 2 x 1301

Step 2: Find the prime factorization of 2610

2610 = 2 x 3 x 3 x 5 x 29

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

GCF = 2

Step 4: Therefore, the greatest common factor of 2602 and 2610 is 2