Greatest Common Factor of 7612 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 7612, 7618 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7612 and 7618 is 2.

GCF(7612,7618) = 2

GCF of 7612 and 7618

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

GCF of:
and

Greatest Common Factor of 7612 and 7618

GCF of 7612 and 7618 is 2

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 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 7612 and 7618 is 2

Greatest Common Factor of 7612 and 7618 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 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 7612 and 7618. The biggest common factor number is the GCF number.
So the greatest common factor 7612 and 7618 is 2.

Also check out the Least Common Multiple of 7612 and 7618

Properties of GCF 7612 and 7618

(i) The GCF of 7612 and 7618 is associative

GCF of 7612 and 7618 = GCF of 7618 and 7612

Related Greatest Common Factor of 7612

Related Greatest Common Factor of 7618

Frequently Asked Questions on GCF of 7612 and 7618

1. What is the GCF of 7612 and 7618?

Answer: GCF of 7612 and 7618 is 2.

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 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 7612 and 7618?

Answer:

Greatest Common Factor of 7612 and 7618 = 2

Step 1: Find the prime factorization of 7612

7612 = 2 x 2 x 11 x 173

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 7612 and 7618 is 2