Greatest Common Factor of 7606 and 7608

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 7606, 7608 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7606 and 7608 is 2.

GCF(7606,7608) = 2

GCF of 7606 and 7608

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

GCF of:
and

Greatest Common Factor of 7606 and 7608

GCF of 7606 and 7608 is 2

Prime Factorization of 7606


2 7606
3803 3803
1

Prime factors of 7606 are 2,3803. Prime factorization of 7606 in exponential form is:

7606 = 21×38031

Prime Factorization of 7608


2 7608
2 3804
2 1902
3 951
317 317
1

Prime factors of 7608 are 2,3,317. Prime factorization of 7608 in exponential form is:

7608 = 23×31×3171

∴ So by taking common prime factors GCF of 7606 and 7608 is 2

Greatest Common Factor of 7606 and 7608 by matching factors method

Factors of 7606

List of positive integer factors of 7606 that divides 7606 without a remainder.

1,2,3803,7606

Factors of 7608

List of positive integer factors of 7608 that divides 7608 without a remainder.

1,2,3,4,6,8,12,24,317,634,951,1268,1902,2536,3804,7608

Greatest Common Factor

We found the factors and prime factorization of 7606 and 7608. The biggest common factor number is the GCF number.
So the greatest common factor 7606 and 7608 is 2.

Also check out the Least Common Multiple of 7606 and 7608

Properties of GCF 7606 and 7608

(i) The GCF of 7606 and 7608 is associative

GCF of 7606 and 7608 = GCF of 7608 and 7606

Related Greatest Common Factor of 7606

Related Greatest Common Factor of 7608

Frequently Asked Questions on GCF of 7606 and 7608

1. What is the GCF of 7606 and 7608?

Answer: GCF of 7606 and 7608 is 2.

2. What are the Factors of 7606?

Answer: Factors of 7606 are 1, 2, 3803, 7606. There are 4 integers that are factors of 7606. The greatest factor of 7606 is 7606.

3. What are the Factors of 7608?

Answer: Factors of 7608 are 1, 2, 3, 4, 6, 8, 12, 24, 317, 634, 951, 1268, 1902, 2536, 3804, 7608. There are 16 integers that are factors of 7608. The greatest factor of 7608 is 7608.

4. How to Find the GCF of 7606 and 7608?

Answer:

Greatest Common Factor of 7606 and 7608 = 2

Step 1: Find the prime factorization of 7606

7606 = 2 x 3803

Step 2: Find the prime factorization of 7608

7608 = 2 x 2 x 2 x 3 x 317

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 7606 and 7608 is 2