Greatest Common Factor of 7609 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 7609, 7616 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7609 and 7616 is 7.

GCF(7609,7616) = 7

GCF of 7609 and 7616

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

GCF of:
and

Greatest Common Factor of 7609 and 7616

GCF of 7609 and 7616 is 7

Prime Factorization of 7609


7 7609
1087 1087
1

Prime factors of 7609 are 7,1087. Prime factorization of 7609 in exponential form is:

7609 = 71×10871

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 7609 and 7616 is 7

Greatest Common Factor of 7609 and 7616 by matching factors method

Factors of 7609

List of positive integer factors of 7609 that divides 7609 without a remainder.

1,7,1087,7609

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 7609 and 7616. The biggest common factor number is the GCF number.
So the greatest common factor 7609 and 7616 is 7.

Also check out the Least Common Multiple of 7609 and 7616

Properties of GCF 7609 and 7616

(i) The GCF of 7609 and 7616 is associative

GCF of 7609 and 7616 = GCF of 7616 and 7609

Related Greatest Common Factor of 7609

Related Greatest Common Factor of 7616

Frequently Asked Questions on GCF of 7609 and 7616

1. What is the GCF of 7609 and 7616?

Answer: GCF of 7609 and 7616 is 7.

2. What are the Factors of 7609?

Answer: Factors of 7609 are 1, 7, 1087, 7609. There are 4 integers that are factors of 7609. The greatest factor of 7609 is 7609.

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 7609 and 7616?

Answer:

Greatest Common Factor of 7609 and 7616 = 7

Step 1: Find the prime factorization of 7609

7609 = 7 x 1087

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 = 7

Step 4: Therefore, the greatest common factor of 7609 and 7616 is 7