Greatest Common Factor of 7613 and 7616

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, 7616 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7613 and 7616 is 1.

GCF(7613,7616) = 1

GCF of 7613 and 7616

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

GCF of:
and

Greatest Common Factor of 7613 and 7616

GCF of 7613 and 7616 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 7616


2 7616
2 3808
2 1904
2 952
2 476
2 238
7 119
17 17
1

Prime factors of 7616 are 2,7,17. Prime factorization of 7616 in exponential form is:

7616 = 26×71×171

∴ So by taking common prime factors GCF of 7613 and 7616 is 1

Greatest Common Factor of 7613 and 7616 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 7616

List of positive integer factors of 7616 that divides 7616 without a remainder.

1,2,4,7,8,14,16,17,28,32,34,56,64,68,112,119,136,224,238,272,448,476,544,952,1088,1904,3808,7616

Greatest Common Factor

We found the factors and prime factorization of 7613 and 7616. The biggest common factor number is the GCF number.
So the greatest common factor 7613 and 7616 is 1.

Also check out the Least Common Multiple of 7613 and 7616

Properties of GCF 7613 and 7616

(i) The GCF of 7613 and 7616 is associative

GCF of 7613 and 7616 = GCF of 7616 and 7613

Frequently Asked Questions on GCF of 7613 and 7616

1. What is the GCF of 7613 and 7616?

Answer: GCF of 7613 and 7616 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 7616?

Answer: Factors of 7616 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 64, 68, 112, 119, 136, 224, 238, 272, 448, 476, 544, 952, 1088, 1904, 3808, 7616. There are 28 integers that are factors of 7616. The greatest factor of 7616 is 7616.

4. How to Find the GCF of 7613 and 7616?

Answer:

Greatest Common Factor of 7613 and 7616 = 1

Step 1: Find the prime factorization of 7613

7613 = 23 x 331

Step 2: Find the prime factorization of 7616

7616 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 17

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 7616 is 1