Greatest Common Factor of 316414 and 316421

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 316414, 316421 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 316414 and 316421 is 7.

GCF(316414,316421) = 7

GCF of 316414 and 316421

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

GCF of:
and

Greatest Common Factor of 316414 and 316421

GCF of 316414 and 316421 is 7

Prime Factorization of 316414


2 316414
7 158207
97 22601
233 233
1

Prime factors of 316414 are 2,7,97,233. Prime factorization of 316414 in exponential form is:

316414 = 21×71×971×2331

Prime Factorization of 316421


7 316421
17 45203
2659 2659
1

Prime factors of 316421 are 7,17,2659. Prime factorization of 316421 in exponential form is:

316421 = 71×171×26591

∴ So by taking common prime factors GCF of 316414 and 316421 is 7

Greatest Common Factor of 316414 and 316421 by matching factors method

Factors of 316414

List of positive integer factors of 316414 that divides 316414 without a remainder.

1,2,7,14,97,194,233,466,679,1358,1631,3262,22601,45202,158207,316414

Factors of 316421

List of positive integer factors of 316421 that divides 316421 without a remainder.

1,7,17,119,2659,18613,45203,316421

Greatest Common Factor

We found the factors and prime factorization of 316414 and 316421. The biggest common factor number is the GCF number.
So the greatest common factor 316414 and 316421 is 7.

Also check out the Least Common Multiple of 316414 and 316421

Properties of GCF 316414 and 316421

(i) The GCF of 316414 and 316421 is associative

GCF of 316414 and 316421 = GCF of 316421 and 316414

Related Greatest Common Factor of 316414

Related Greatest Common Factor of 316421

Frequently Asked Questions on GCF of 316414 and 316421

1. What is the GCF of 316414 and 316421?

Answer: GCF of 316414 and 316421 is 7.

2. What are the Factors of 316414?

Answer: Factors of 316414 are 1, 2, 7, 14, 97, 194, 233, 466, 679, 1358, 1631, 3262, 22601, 45202, 158207, 316414. There are 16 integers that are factors of 316414. The greatest factor of 316414 is 316414.

3. What are the Factors of 316421?

Answer: Factors of 316421 are 1, 7, 17, 119, 2659, 18613, 45203, 316421. There are 8 integers that are factors of 316421. The greatest factor of 316421 is 316421.

4. How to Find the GCF of 316414 and 316421?

Answer:

Greatest Common Factor of 316414 and 316421 = 7

Step 1: Find the prime factorization of 316414

316414 = 2 x 7 x 97 x 233

Step 2: Find the prime factorization of 316421

316421 = 7 x 17 x 2659

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 316414 and 316421 is 7