Greatest Common Factor of 7614 and 7618

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 7614, 7618 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7614 and 7618 is 2.

GCF(7614,7618) = 2

GCF of 7614 and 7618

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

GCF of:
and

Greatest Common Factor of 7614 and 7618

GCF of 7614 and 7618 is 2

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

Prime Factorization of 7618


2 7618
13 3809
293 293
1

Prime factors of 7618 are 2,13,293. Prime factorization of 7618 in exponential form is:

7618 = 21×131×2931

∴ So by taking common prime factors GCF of 7614 and 7618 is 2

Greatest Common Factor of 7614 and 7618 by matching factors method

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

Factors of 7618

List of positive integer factors of 7618 that divides 7618 without a remainder.

1,2,13,26,293,586,3809,7618

Greatest Common Factor

We found the factors and prime factorization of 7614 and 7618. The biggest common factor number is the GCF number.
So the greatest common factor 7614 and 7618 is 2.

Also check out the Least Common Multiple of 7614 and 7618

Properties of GCF 7614 and 7618

(i) The GCF of 7614 and 7618 is associative

GCF of 7614 and 7618 = GCF of 7618 and 7614

Related Greatest Common Factor of 7614

Related Greatest Common Factor of 7618

Frequently Asked Questions on GCF of 7614 and 7618

1. What is the GCF of 7614 and 7618?

Answer: GCF of 7614 and 7618 is 2.

2. 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.

3. What are the Factors of 7618?

Answer: Factors of 7618 are 1, 2, 13, 26, 293, 586, 3809, 7618. There are 8 integers that are factors of 7618. The greatest factor of 7618 is 7618.

4. How to Find the GCF of 7614 and 7618?

Answer:

Greatest Common Factor of 7614 and 7618 = 2

Step 1: Find the prime factorization of 7614

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

Step 2: Find the prime factorization of 7618

7618 = 2 x 13 x 293

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 7614 and 7618 is 2