Greatest Common Factor of 7616 and 7623

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 7616, 7623 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7616 and 7623 is 7.

GCF(7616,7623) = 7

GCF of 7616 and 7623

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

GCF of:
and

Greatest Common Factor of 7616 and 7623

GCF of 7616 and 7623 is 7

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

Prime Factorization of 7623


3 7623
3 2541
7 847
11 121
11 11
1

Prime factors of 7623 are 3,7,11. Prime factorization of 7623 in exponential form is:

7623 = 32×71×112

∴ So by taking common prime factors GCF of 7616 and 7623 is 7

Greatest Common Factor of 7616 and 7623 by matching factors method

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

Factors of 7623

List of positive integer factors of 7623 that divides 7623 without a remainder.

1,3,7,9,11,21,33,63,77,99,121,231,363,693,847,1089,2541,7623

Greatest Common Factor

We found the factors and prime factorization of 7616 and 7623. The biggest common factor number is the GCF number.
So the greatest common factor 7616 and 7623 is 7.

Also check out the Least Common Multiple of 7616 and 7623

Properties of GCF 7616 and 7623

(i) The GCF of 7616 and 7623 is associative

GCF of 7616 and 7623 = GCF of 7623 and 7616

Related Greatest Common Factor of 7616

Related Greatest Common Factor of 7623

Frequently Asked Questions on GCF of 7616 and 7623

1. What is the GCF of 7616 and 7623?

Answer: GCF of 7616 and 7623 is 7.

2. 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.

3. What are the Factors of 7623?

Answer: Factors of 7623 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 121, 231, 363, 693, 847, 1089, 2541, 7623. There are 18 integers that are factors of 7623. The greatest factor of 7623 is 7623.

4. How to Find the GCF of 7616 and 7623?

Answer:

Greatest Common Factor of 7616 and 7623 = 7

Step 1: Find the prime factorization of 7616

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

Step 2: Find the prime factorization of 7623

7623 = 3 x 3 x 7 x 11 x 11

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

GCF = 7

Step 4: Therefore, the greatest common factor of 7616 and 7623 is 7