Greatest Common Factor of 2675 and 2680

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 2675, 2680 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2675 and 2680 is 5.

GCF(2675,2680) = 5

GCF of 2675 and 2680

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

GCF of:
and

Greatest Common Factor of 2675 and 2680

GCF of 2675 and 2680 is 5

Prime Factorization of 2675


5 2675
5 535
107 107
1

Prime factors of 2675 are 5,107. Prime factorization of 2675 in exponential form is:

2675 = 52×1071

Prime Factorization of 2680


2 2680
2 1340
2 670
5 335
67 67
1

Prime factors of 2680 are 2,5,67. Prime factorization of 2680 in exponential form is:

2680 = 23×51×671

∴ So by taking common prime factors GCF of 2675 and 2680 is 5

Greatest Common Factor of 2675 and 2680 by matching factors method

Factors of 2675

List of positive integer factors of 2675 that divides 2675 without a remainder.

1,5,25,107,535,2675

Factors of 2680

List of positive integer factors of 2680 that divides 2680 without a remainder.

1,2,4,5,8,10,20,40,67,134,268,335,536,670,1340,2680

Greatest Common Factor

We found the factors and prime factorization of 2675 and 2680. The biggest common factor number is the GCF number.
So the greatest common factor 2675 and 2680 is 5.

Also check out the Least Common Multiple of 2675 and 2680

Properties of GCF 2675 and 2680

(i) The GCF of 2675 and 2680 is associative

GCF of 2675 and 2680 = GCF of 2680 and 2675

Related Greatest Common Factor of 2675

Related Greatest Common Factor of 2680

Frequently Asked Questions on GCF of 2675 and 2680

1. What is the GCF of 2675 and 2680?

Answer: GCF of 2675 and 2680 is 5.

2. What are the Factors of 2675?

Answer: Factors of 2675 are 1, 5, 25, 107, 535, 2675. There are 6 integers that are factors of 2675. The greatest factor of 2675 is 2675.

3. What are the Factors of 2680?

Answer: Factors of 2680 are 1, 2, 4, 5, 8, 10, 20, 40, 67, 134, 268, 335, 536, 670, 1340, 2680. There are 16 integers that are factors of 2680. The greatest factor of 2680 is 2680.

4. How to Find the GCF of 2675 and 2680?

Answer:

Greatest Common Factor of 2675 and 2680 = 5

Step 1: Find the prime factorization of 2675

2675 = 5 x 5 x 107

Step 2: Find the prime factorization of 2680

2680 = 2 x 2 x 2 x 5 x 67

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 2675 and 2680 is 5