Greatest Common Factor of 7608 and 7614

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 7608, 7614 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7608 and 7614 is 6.

GCF(7608,7614) = 6

GCF of 7608 and 7614

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

GCF of:
and

Greatest Common Factor of 7608 and 7614

GCF of 7608 and 7614 is 6

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

Prime Factorization of 7614


2 7614
3 3807
3 1269
3 423
3 141
47 47
1

Prime factors of 7614 are 2,3,47. Prime factorization of 7614 in exponential form is:

7614 = 21×34×471

∴ So by taking common prime factors GCF of 7608 and 7614 is 6

Greatest Common Factor of 7608 and 7614 by matching factors method

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

Factors of 7614

List of positive integer factors of 7614 that divides 7614 without a remainder.

1,2,3,6,9,18,27,47,54,81,94,141,162,282,423,846,1269,2538,3807,7614

Greatest Common Factor

We found the factors and prime factorization of 7608 and 7614. The biggest common factor number is the GCF number.
So the greatest common factor 7608 and 7614 is 6.

Also check out the Least Common Multiple of 7608 and 7614

Properties of GCF 7608 and 7614

(i) The GCF of 7608 and 7614 is associative

GCF of 7608 and 7614 = GCF of 7614 and 7608

Related Greatest Common Factor of 7608

Related Greatest Common Factor of 7614

Frequently Asked Questions on GCF of 7608 and 7614

1. What is the GCF of 7608 and 7614?

Answer: GCF of 7608 and 7614 is 6.

2. 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.

3. What are the Factors of 7614?

Answer: Factors of 7614 are 1, 2, 3, 6, 9, 18, 27, 47, 54, 81, 94, 141, 162, 282, 423, 846, 1269, 2538, 3807, 7614. There are 20 integers that are factors of 7614. The greatest factor of 7614 is 7614.

4. How to Find the GCF of 7608 and 7614?

Answer:

Greatest Common Factor of 7608 and 7614 = 6

Step 1: Find the prime factorization of 7608

7608 = 2 x 2 x 2 x 3 x 317

Step 2: Find the prime factorization of 7614

7614 = 2 x 3 x 3 x 3 x 3 x 47

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 7608 and 7614 is 6