Greatest Common Factor of 7640 and 7642

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 7640, 7642 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7640 and 7642 is 2.

GCF(7640,7642) = 2

GCF of 7640 and 7642

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

GCF of:
and

Greatest Common Factor of 7640 and 7642

GCF of 7640 and 7642 is 2

Prime Factorization of 7640


2 7640
2 3820
2 1910
5 955
191 191
1

Prime factors of 7640 are 2,5,191. Prime factorization of 7640 in exponential form is:

7640 = 23×51×1911

Prime Factorization of 7642


2 7642
3821 3821
1

Prime factors of 7642 are 2,3821. Prime factorization of 7642 in exponential form is:

7642 = 21×38211

∴ So by taking common prime factors GCF of 7640 and 7642 is 2

Greatest Common Factor of 7640 and 7642 by matching factors method

Factors of 7640

List of positive integer factors of 7640 that divides 7640 without a remainder.

1,2,4,5,8,10,20,40,191,382,764,955,1528,1910,3820,7640

Factors of 7642

List of positive integer factors of 7642 that divides 7642 without a remainder.

1,2,3821,7642

Greatest Common Factor

We found the factors and prime factorization of 7640 and 7642. The biggest common factor number is the GCF number.
So the greatest common factor 7640 and 7642 is 2.

Also check out the Least Common Multiple of 7640 and 7642

Properties of GCF 7640 and 7642

(i) The GCF of 7640 and 7642 is associative

GCF of 7640 and 7642 = GCF of 7642 and 7640

Related Greatest Common Factor of 7640

Related Greatest Common Factor of 7642

Frequently Asked Questions on GCF of 7640 and 7642

1. What is the GCF of 7640 and 7642?

Answer: GCF of 7640 and 7642 is 2.

2. What are the Factors of 7640?

Answer: Factors of 7640 are 1, 2, 4, 5, 8, 10, 20, 40, 191, 382, 764, 955, 1528, 1910, 3820, 7640. There are 16 integers that are factors of 7640. The greatest factor of 7640 is 7640.

3. What are the Factors of 7642?

Answer: Factors of 7642 are 1, 2, 3821, 7642. There are 4 integers that are factors of 7642. The greatest factor of 7642 is 7642.

4. How to Find the GCF of 7640 and 7642?

Answer:

Greatest Common Factor of 7640 and 7642 = 2

Step 1: Find the prime factorization of 7640

7640 = 2 x 2 x 2 x 5 x 191

Step 2: Find the prime factorization of 7642

7642 = 2 x 3821

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 7640 and 7642 is 2