Greatest Common Factor of 7412 and 7414

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 7412, 7414 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7412 and 7414 is 2.

GCF(7412,7414) = 2

GCF of 7412 and 7414

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

GCF of:
and

Greatest Common Factor of 7412 and 7414

GCF of 7412 and 7414 is 2

Prime Factorization of 7412


2 7412
2 3706
17 1853
109 109
1

Prime factors of 7412 are 2,17,109. Prime factorization of 7412 in exponential form is:

7412 = 22×171×1091

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

∴ So by taking common prime factors GCF of 7412 and 7414 is 2

Greatest Common Factor of 7412 and 7414 by matching factors method

Factors of 7412

List of positive integer factors of 7412 that divides 7412 without a remainder.

1,2,4,17,34,68,109,218,436,1853,3706,7412

Factors of 7414

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

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

Greatest Common Factor

We found the factors and prime factorization of 7412 and 7414. The biggest common factor number is the GCF number.
So the greatest common factor 7412 and 7414 is 2.

Also check out the Least Common Multiple of 7412 and 7414

Properties of GCF 7412 and 7414

(i) The GCF of 7412 and 7414 is associative

GCF of 7412 and 7414 = GCF of 7414 and 7412

Related Greatest Common Factor of 7412

Related Greatest Common Factor of 7414

Frequently Asked Questions on GCF of 7412 and 7414

1. What is the GCF of 7412 and 7414?

Answer: GCF of 7412 and 7414 is 2.

2. What are the Factors of 7412?

Answer: Factors of 7412 are 1, 2, 4, 17, 34, 68, 109, 218, 436, 1853, 3706, 7412. There are 12 integers that are factors of 7412. The greatest factor of 7412 is 7412.

3. 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.

4. How to Find the GCF of 7412 and 7414?

Answer:

Greatest Common Factor of 7412 and 7414 = 2

Step 1: Find the prime factorization of 7412

7412 = 2 x 2 x 17 x 109

Step 2: Find the prime factorization of 7414

7414 = 2 x 11 x 337

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 7412 and 7414 is 2