Greatest Common Factor of 7612 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 7612, 7616 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7612 and 7616 is 4.

GCF(7612,7616) = 4

GCF of 7612 and 7616

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

GCF of:
and

Greatest Common Factor of 7612 and 7616

GCF of 7612 and 7616 is 4

Prime Factorization of 7612


2 7612
2 3806
11 1903
173 173
1

Prime factors of 7612 are 2,11,173. Prime factorization of 7612 in exponential form is:

7612 = 22×111×1731

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 7612 and 7616 is 4

Greatest Common Factor of 7612 and 7616 by matching factors method

Factors of 7612

List of positive integer factors of 7612 that divides 7612 without a remainder.

1,2,4,11,22,44,173,346,692,1903,3806,7612

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 7612 and 7616. The biggest common factor number is the GCF number.
So the greatest common factor 7612 and 7616 is 4.

Also check out the Least Common Multiple of 7612 and 7616

Properties of GCF 7612 and 7616

(i) The GCF of 7612 and 7616 is associative

GCF of 7612 and 7616 = GCF of 7616 and 7612

Related Greatest Common Factor of 7612

Related Greatest Common Factor of 7616

Frequently Asked Questions on GCF of 7612 and 7616

1. What is the GCF of 7612 and 7616?

Answer: GCF of 7612 and 7616 is 4.

2. What are the Factors of 7612?

Answer: Factors of 7612 are 1, 2, 4, 11, 22, 44, 173, 346, 692, 1903, 3806, 7612. There are 12 integers that are factors of 7612. The greatest factor of 7612 is 7612.

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 7612 and 7616?

Answer:

Greatest Common Factor of 7612 and 7616 = 4

Step 1: Find the prime factorization of 7612

7612 = 2 x 2 x 11 x 173

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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7612 and 7616 is 4