Greatest Common Factor of 308404 and 308412

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 308404, 308412 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 308404 and 308412 is 4.

GCF(308404,308412) = 4

GCF of 308404 and 308412

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

GCF of:
and

Greatest Common Factor of 308404 and 308412

GCF of 308404 and 308412 is 4

Prime Factorization of 308404


2 308404
2 154202
77101 77101
1

Prime factors of 308404 are 2,77101. Prime factorization of 308404 in exponential form is:

308404 = 22×771011

Prime Factorization of 308412


2 308412
2 154206
3 77103
3 25701
13 8567
659 659
1

Prime factors of 308412 are 2,3,13,659. Prime factorization of 308412 in exponential form is:

308412 = 22×32×131×6591

∴ So by taking common prime factors GCF of 308404 and 308412 is 4

Greatest Common Factor of 308404 and 308412 by matching factors method

Factors of 308404

List of positive integer factors of 308404 that divides 308404 without a remainder.

1,2,4,77101,154202,308404

Factors of 308412

List of positive integer factors of 308412 that divides 308412 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468,659,1318,1977,2636,3954,5931,7908,8567,11862,17134,23724,25701,34268,51402,77103,102804,154206,308412

Greatest Common Factor

We found the factors and prime factorization of 308404 and 308412. The biggest common factor number is the GCF number.
So the greatest common factor 308404 and 308412 is 4.

Also check out the Least Common Multiple of 308404 and 308412

Properties of GCF 308404 and 308412

(i) The GCF of 308404 and 308412 is associative

GCF of 308404 and 308412 = GCF of 308412 and 308404

Related Greatest Common Factor of 308404

Related Greatest Common Factor of 308412

Frequently Asked Questions on GCF of 308404 and 308412

1. What is the GCF of 308404 and 308412?

Answer: GCF of 308404 and 308412 is 4.

2. What are the Factors of 308404?

Answer: Factors of 308404 are 1, 2, 4, 77101, 154202, 308404. There are 6 integers that are factors of 308404. The greatest factor of 308404 is 308404.

3. What are the Factors of 308412?

Answer: Factors of 308412 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468, 659, 1318, 1977, 2636, 3954, 5931, 7908, 8567, 11862, 17134, 23724, 25701, 34268, 51402, 77103, 102804, 154206, 308412. There are 36 integers that are factors of 308412. The greatest factor of 308412 is 308412.

4. How to Find the GCF of 308404 and 308412?

Answer:

Greatest Common Factor of 308404 and 308412 = 4

Step 1: Find the prime factorization of 308404

308404 = 2 x 2 x 77101

Step 2: Find the prime factorization of 308412

308412 = 2 x 2 x 3 x 3 x 13 x 659

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 308404 and 308412 is 4