Greatest Common Factor of 7414 and 7418

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, 7418 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7414 and 7418 is 2.

GCF(7414,7418) = 2

GCF of 7414 and 7418

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

GCF of:
and

Greatest Common Factor of 7414 and 7418

GCF of 7414 and 7418 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 7418


2 7418
3709 3709
1

Prime factors of 7418 are 2,3709. Prime factorization of 7418 in exponential form is:

7418 = 21×37091

∴ So by taking common prime factors GCF of 7414 and 7418 is 2

Greatest Common Factor of 7414 and 7418 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 7418

List of positive integer factors of 7418 that divides 7418 without a remainder.

1,2,3709,7418

Greatest Common Factor

We found the factors and prime factorization of 7414 and 7418. The biggest common factor number is the GCF number.
So the greatest common factor 7414 and 7418 is 2.

Also check out the Least Common Multiple of 7414 and 7418

Properties of GCF 7414 and 7418

(i) The GCF of 7414 and 7418 is associative

GCF of 7414 and 7418 = GCF of 7418 and 7414

Related Greatest Common Factor of 7414

Related Greatest Common Factor of 7418

Frequently Asked Questions on GCF of 7414 and 7418

1. What is the GCF of 7414 and 7418?

Answer: GCF of 7414 and 7418 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 7418?

Answer: Factors of 7418 are 1, 2, 3709, 7418. There are 4 integers that are factors of 7418. The greatest factor of 7418 is 7418.

4. How to Find the GCF of 7414 and 7418?

Answer:

Greatest Common Factor of 7414 and 7418 = 2

Step 1: Find the prime factorization of 7414

7414 = 2 x 11 x 337

Step 2: Find the prime factorization of 7418

7418 = 2 x 3709

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 7418 is 2