Greatest Common Factor of 7610 and 7613

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 7610, 7613 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7610 and 7613 is 1.

GCF(7610,7613) = 1

GCF of 7610 and 7613

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

GCF of:
and

Greatest Common Factor of 7610 and 7613

GCF of 7610 and 7613 is 1

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

Prime Factorization of 7613


23 7613
331 331
1

Prime factors of 7613 are 23,331. Prime factorization of 7613 in exponential form is:

7613 = 231×3311

∴ So by taking common prime factors GCF of 7610 and 7613 is 1

Greatest Common Factor of 7610 and 7613 by matching factors method

Factors of 7610

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

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

Factors of 7613

List of positive integer factors of 7613 that divides 7613 without a remainder.

1,23,331,7613

Greatest Common Factor

We found the factors and prime factorization of 7610 and 7613. The biggest common factor number is the GCF number.
So the greatest common factor 7610 and 7613 is 1.

Also check out the Least Common Multiple of 7610 and 7613

Properties of GCF 7610 and 7613

(i) The GCF of 7610 and 7613 is associative

GCF of 7610 and 7613 = GCF of 7613 and 7610

Frequently Asked Questions on GCF of 7610 and 7613

1. What is the GCF of 7610 and 7613?

Answer: GCF of 7610 and 7613 is 1.

2. 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.

3. What are the Factors of 7613?

Answer: Factors of 7613 are 1, 23, 331, 7613. There are 4 integers that are factors of 7613. The greatest factor of 7613 is 7613.

4. How to Find the GCF of 7610 and 7613?

Answer:

Greatest Common Factor of 7610 and 7613 = 1

Step 1: Find the prime factorization of 7610

7610 = 2 x 5 x 761

Step 2: Find the prime factorization of 7613

7613 = 23 x 331

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 7610 and 7613 is 1