Greatest Common Factor of 7414 and 7422

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 7414, 7422 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7414 and 7422 is 2.

GCF(7414,7422) = 2

GCF of 7414 and 7422

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

GCF of:
and

Greatest Common Factor of 7414 and 7422

GCF of 7414 and 7422 is 2

Prime Factorization of 7414


2 7414
11 3707
337 337
1

Prime factors of 7414 are 2,11,337. Prime factorization of 7414 in exponential form is:

7414 = 21×111×3371

Prime Factorization of 7422


2 7422
3 3711
1237 1237
1

Prime factors of 7422 are 2,3,1237. Prime factorization of 7422 in exponential form is:

7422 = 21×31×12371

∴ So by taking common prime factors GCF of 7414 and 7422 is 2

Greatest Common Factor of 7414 and 7422 by matching factors method

Factors of 7414

List of positive integer factors of 7414 that divides 7414 without a remainder.

1,2,11,22,337,674,3707,7414

Factors of 7422

List of positive integer factors of 7422 that divides 7422 without a remainder.

1,2,3,6,1237,2474,3711,7422

Greatest Common Factor

We found the factors and prime factorization of 7414 and 7422. The biggest common factor number is the GCF number.
So the greatest common factor 7414 and 7422 is 2.

Also check out the Least Common Multiple of 7414 and 7422

Properties of GCF 7414 and 7422

(i) The GCF of 7414 and 7422 is associative

GCF of 7414 and 7422 = GCF of 7422 and 7414

Related Greatest Common Factor of 7414

Related Greatest Common Factor of 7422

Frequently Asked Questions on GCF of 7414 and 7422

1. What is the GCF of 7414 and 7422?

Answer: GCF of 7414 and 7422 is 2.

2. What are the Factors of 7414?

Answer: Factors of 7414 are 1, 2, 11, 22, 337, 674, 3707, 7414. There are 8 integers that are factors of 7414. The greatest factor of 7414 is 7414.

3. What are the Factors of 7422?

Answer: Factors of 7422 are 1, 2, 3, 6, 1237, 2474, 3711, 7422. There are 8 integers that are factors of 7422. The greatest factor of 7422 is 7422.

4. How to Find the GCF of 7414 and 7422?

Answer:

Greatest Common Factor of 7414 and 7422 = 2

Step 1: Find the prime factorization of 7414

7414 = 2 x 11 x 337

Step 2: Find the prime factorization of 7422

7422 = 2 x 3 x 1237

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 7414 and 7422 is 2