Greatest Common Factor of 7613 and 7617

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 7613, 7617 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7613 and 7617 is 1.

GCF(7613,7617) = 1

GCF of 7613 and 7617

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

GCF of:
and

Greatest Common Factor of 7613 and 7617

GCF of 7613 and 7617 is 1

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

Prime Factorization of 7617


3 7617
2539 2539
1

Prime factors of 7617 are 3,2539. Prime factorization of 7617 in exponential form is:

7617 = 31×25391

∴ So by taking common prime factors GCF of 7613 and 7617 is 1

Greatest Common Factor of 7613 and 7617 by matching factors method

Factors of 7613

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

1,23,331,7613

Factors of 7617

List of positive integer factors of 7617 that divides 7617 without a remainder.

1,3,2539,7617

Greatest Common Factor

We found the factors and prime factorization of 7613 and 7617. The biggest common factor number is the GCF number.
So the greatest common factor 7613 and 7617 is 1.

Also check out the Least Common Multiple of 7613 and 7617

Properties of GCF 7613 and 7617

(i) The GCF of 7613 and 7617 is associative

GCF of 7613 and 7617 = GCF of 7617 and 7613

Related Greatest Common Factor of 7613

Related Greatest Common Factor of 7617

Frequently Asked Questions on GCF of 7613 and 7617

1. What is the GCF of 7613 and 7617?

Answer: GCF of 7613 and 7617 is 1.

2. 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.

3. What are the Factors of 7617?

Answer: Factors of 7617 are 1, 3, 2539, 7617. There are 4 integers that are factors of 7617. The greatest factor of 7617 is 7617.

4. How to Find the GCF of 7613 and 7617?

Answer:

Greatest Common Factor of 7613 and 7617 = 1

Step 1: Find the prime factorization of 7613

7613 = 23 x 331

Step 2: Find the prime factorization of 7617

7617 = 3 x 2539

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 7613 and 7617 is 1