Greatest Common Factor of 7616 and 7622

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, 7622 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7616 and 7622 is 2.

GCF(7616,7622) = 2

GCF of 7616 and 7622

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

GCF of:
and

Greatest Common Factor of 7616 and 7622

GCF of 7616 and 7622 is 2

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 7622


2 7622
37 3811
103 103
1

Prime factors of 7622 are 2,37,103. Prime factorization of 7622 in exponential form is:

7622 = 21×371×1031

∴ So by taking common prime factors GCF of 7616 and 7622 is 2

Greatest Common Factor of 7616 and 7622 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 7622

List of positive integer factors of 7622 that divides 7622 without a remainder.

1,2,37,74,103,206,3811,7622

Greatest Common Factor

We found the factors and prime factorization of 7616 and 7622. The biggest common factor number is the GCF number.
So the greatest common factor 7616 and 7622 is 2.

Also check out the Least Common Multiple of 7616 and 7622

Properties of GCF 7616 and 7622

(i) The GCF of 7616 and 7622 is associative

GCF of 7616 and 7622 = GCF of 7622 and 7616

Related Greatest Common Factor of 7616

Related Greatest Common Factor of 7622

Frequently Asked Questions on GCF of 7616 and 7622

1. What is the GCF of 7616 and 7622?

Answer: GCF of 7616 and 7622 is 2.

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 7622?

Answer: Factors of 7622 are 1, 2, 37, 74, 103, 206, 3811, 7622. There are 8 integers that are factors of 7622. The greatest factor of 7622 is 7622.

4. How to Find the GCF of 7616 and 7622?

Answer:

Greatest Common Factor of 7616 and 7622 = 2

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 7622

7622 = 2 x 37 x 103

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7616 and 7622 is 2