Greatest Common Factor of 7604 and 7610

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 7604, 7610 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7604 and 7610 is 2.

GCF(7604,7610) = 2

GCF of 7604 and 7610

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

GCF of:
and

Greatest Common Factor of 7604 and 7610

GCF of 7604 and 7610 is 2

Prime Factorization of 7604


2 7604
2 3802
1901 1901
1

Prime factors of 7604 are 2,1901. Prime factorization of 7604 in exponential form is:

7604 = 22×19011

Prime Factorization of 7610


2 7610
5 3805
761 761
1

Prime factors of 7610 are 2,5,761. Prime factorization of 7610 in exponential form is:

7610 = 21×51×7611

∴ So by taking common prime factors GCF of 7604 and 7610 is 2

Greatest Common Factor of 7604 and 7610 by matching factors method

Factors of 7604

List of positive integer factors of 7604 that divides 7604 without a remainder.

1,2,4,1901,3802,7604

Factors of 7610

List of positive integer factors of 7610 that divides 7610 without a remainder.

1,2,5,10,761,1522,3805,7610

Greatest Common Factor

We found the factors and prime factorization of 7604 and 7610. The biggest common factor number is the GCF number.
So the greatest common factor 7604 and 7610 is 2.

Also check out the Least Common Multiple of 7604 and 7610

Properties of GCF 7604 and 7610

(i) The GCF of 7604 and 7610 is associative

GCF of 7604 and 7610 = GCF of 7610 and 7604

Related Greatest Common Factor of 7604

Related Greatest Common Factor of 7610

Frequently Asked Questions on GCF of 7604 and 7610

1. What is the GCF of 7604 and 7610?

Answer: GCF of 7604 and 7610 is 2.

2. What are the Factors of 7604?

Answer: Factors of 7604 are 1, 2, 4, 1901, 3802, 7604. There are 6 integers that are factors of 7604. The greatest factor of 7604 is 7604.

3. What are the Factors of 7610?

Answer: Factors of 7610 are 1, 2, 5, 10, 761, 1522, 3805, 7610. There are 8 integers that are factors of 7610. The greatest factor of 7610 is 7610.

4. How to Find the GCF of 7604 and 7610?

Answer:

Greatest Common Factor of 7604 and 7610 = 2

Step 1: Find the prime factorization of 7604

7604 = 2 x 2 x 1901

Step 2: Find the prime factorization of 7610

7610 = 2 x 5 x 761

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 7604 and 7610 is 2