Greatest Common Factor of 316422 and 316428

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 316422, 316428 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 316422 and 316428 is 6.

GCF(316422,316428) = 6

GCF of 316422 and 316428

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

GCF of:
and

Greatest Common Factor of 316422 and 316428

GCF of 316422 and 316428 is 6

Prime Factorization of 316422


2 316422
3 158211
3 52737
17579 17579
1

Prime factors of 316422 are 2,3,17579. Prime factorization of 316422 in exponential form is:

316422 = 21×32×175791

Prime Factorization of 316428


2 316428
2 158214
3 79107
7 26369
3767 3767
1

Prime factors of 316428 are 2,3,7,3767. Prime factorization of 316428 in exponential form is:

316428 = 22×31×71×37671

∴ So by taking common prime factors GCF of 316422 and 316428 is 6

Greatest Common Factor of 316422 and 316428 by matching factors method

Factors of 316422

List of positive integer factors of 316422 that divides 316422 without a remainder.

1,2,3,6,9,18,17579,35158,52737,105474,158211,316422

Factors of 316428

List of positive integer factors of 316428 that divides 316428 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,3767,7534,11301,15068,22602,26369,45204,52738,79107,105476,158214,316428

Greatest Common Factor

We found the factors and prime factorization of 316422 and 316428. The biggest common factor number is the GCF number.
So the greatest common factor 316422 and 316428 is 6.

Also check out the Least Common Multiple of 316422 and 316428

Properties of GCF 316422 and 316428

(i) The GCF of 316422 and 316428 is associative

GCF of 316422 and 316428 = GCF of 316428 and 316422

Related Greatest Common Factor of 316422

Related Greatest Common Factor of 316428

Frequently Asked Questions on GCF of 316422 and 316428

1. What is the GCF of 316422 and 316428?

Answer: GCF of 316422 and 316428 is 6.

2. What are the Factors of 316422?

Answer: Factors of 316422 are 1, 2, 3, 6, 9, 18, 17579, 35158, 52737, 105474, 158211, 316422. There are 12 integers that are factors of 316422. The greatest factor of 316422 is 316422.

3. What are the Factors of 316428?

Answer: Factors of 316428 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 3767, 7534, 11301, 15068, 22602, 26369, 45204, 52738, 79107, 105476, 158214, 316428. There are 24 integers that are factors of 316428. The greatest factor of 316428 is 316428.

4. How to Find the GCF of 316422 and 316428?

Answer:

Greatest Common Factor of 316422 and 316428 = 6

Step 1: Find the prime factorization of 316422

316422 = 2 x 3 x 3 x 17579

Step 2: Find the prime factorization of 316428

316428 = 2 x 2 x 3 x 7 x 3767

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 316422 and 316428 is 6