Greatest Common Factor of 7613 and 7614

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, 7614 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7613 and 7614 is 1.

GCF(7613,7614) = 1

GCF of 7613 and 7614

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

GCF of:
and

Greatest Common Factor of 7613 and 7614

GCF of 7613 and 7614 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 7614


2 7614
3 3807
3 1269
3 423
3 141
47 47
1

Prime factors of 7614 are 2,3,47. Prime factorization of 7614 in exponential form is:

7614 = 21×34×471

∴ So by taking common prime factors GCF of 7613 and 7614 is 1

Greatest Common Factor of 7613 and 7614 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 7614

List of positive integer factors of 7614 that divides 7614 without a remainder.

1,2,3,6,9,18,27,47,54,81,94,141,162,282,423,846,1269,2538,3807,7614

Greatest Common Factor

We found the factors and prime factorization of 7613 and 7614. The biggest common factor number is the GCF number.
So the greatest common factor 7613 and 7614 is 1.

Also check out the Least Common Multiple of 7613 and 7614

Properties of GCF 7613 and 7614

(i) The GCF of 7613 and 7614 is associative

GCF of 7613 and 7614 = GCF of 7614 and 7613

Related Greatest Common Factor of 7613

Related Greatest Common Factor of 7614

Frequently Asked Questions on GCF of 7613 and 7614

1. What is the GCF of 7613 and 7614?

Answer: GCF of 7613 and 7614 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 7614?

Answer: Factors of 7614 are 1, 2, 3, 6, 9, 18, 27, 47, 54, 81, 94, 141, 162, 282, 423, 846, 1269, 2538, 3807, 7614. There are 20 integers that are factors of 7614. The greatest factor of 7614 is 7614.

4. How to Find the GCF of 7613 and 7614?

Answer:

Greatest Common Factor of 7613 and 7614 = 1

Step 1: Find the prime factorization of 7613

7613 = 23 x 331

Step 2: Find the prime factorization of 7614

7614 = 2 x 3 x 3 x 3 x 3 x 47

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 7614 is 1