Greatest Common Factor of 316428 and 316432

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 316428, 316432 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 316428 and 316432 is 4.

GCF(316428,316432) = 4

GCF of 316428 and 316432

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

GCF of:
and

Greatest Common Factor of 316428 and 316432

GCF of 316428 and 316432 is 4

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

Prime Factorization of 316432


2 316432
2 158216
2 79108
2 39554
19777 19777
1

Prime factors of 316432 are 2,19777. Prime factorization of 316432 in exponential form is:

316432 = 24×197771

∴ So by taking common prime factors GCF of 316428 and 316432 is 4

Greatest Common Factor of 316428 and 316432 by matching factors method

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

Factors of 316432

List of positive integer factors of 316432 that divides 316432 without a remainder.

1,2,4,8,16,19777,39554,79108,158216,316432

Greatest Common Factor

We found the factors and prime factorization of 316428 and 316432. The biggest common factor number is the GCF number.
So the greatest common factor 316428 and 316432 is 4.

Also check out the Least Common Multiple of 316428 and 316432

Properties of GCF 316428 and 316432

(i) The GCF of 316428 and 316432 is associative

GCF of 316428 and 316432 = GCF of 316432 and 316428

Frequently Asked Questions on GCF of 316428 and 316432

1. What is the GCF of 316428 and 316432?

Answer: GCF of 316428 and 316432 is 4.

2. 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.

3. What are the Factors of 316432?

Answer: Factors of 316432 are 1, 2, 4, 8, 16, 19777, 39554, 79108, 158216, 316432. There are 10 integers that are factors of 316432. The greatest factor of 316432 is 316432.

4. How to Find the GCF of 316428 and 316432?

Answer:

Greatest Common Factor of 316428 and 316432 = 4

Step 1: Find the prime factorization of 316428

316428 = 2 x 2 x 3 x 7 x 3767

Step 2: Find the prime factorization of 316432

316432 = 2 x 2 x 2 x 2 x 19777

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 316428 and 316432 is 4