Greatest Common Factor of 308420 and 308424

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 308420, 308424 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 308420 and 308424 is 4.

GCF(308420,308424) = 4

GCF of 308420 and 308424

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

GCF of:
and

Greatest Common Factor of 308420 and 308424

GCF of 308420 and 308424 is 4

Prime Factorization of 308420


2 308420
2 154210
5 77105
7 15421
2203 2203
1

Prime factors of 308420 are 2,5,7,2203. Prime factorization of 308420 in exponential form is:

308420 = 22×51×71×22031

Prime Factorization of 308424


2 308424
2 154212
2 77106
3 38553
71 12851
181 181
1

Prime factors of 308424 are 2,3,71,181. Prime factorization of 308424 in exponential form is:

308424 = 23×31×711×1811

∴ So by taking common prime factors GCF of 308420 and 308424 is 4

Greatest Common Factor of 308420 and 308424 by matching factors method

Factors of 308420

List of positive integer factors of 308420 that divides 308420 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140,2203,4406,8812,11015,15421,22030,30842,44060,61684,77105,154210,308420

Factors of 308424

List of positive integer factors of 308424 that divides 308424 without a remainder.

1,2,3,4,6,8,12,24,71,142,181,213,284,362,426,543,568,724,852,1086,1448,1704,2172,4344,12851,25702,38553,51404,77106,102808,154212,308424

Greatest Common Factor

We found the factors and prime factorization of 308420 and 308424. The biggest common factor number is the GCF number.
So the greatest common factor 308420 and 308424 is 4.

Also check out the Least Common Multiple of 308420 and 308424

Properties of GCF 308420 and 308424

(i) The GCF of 308420 and 308424 is associative

GCF of 308420 and 308424 = GCF of 308424 and 308420

Related Greatest Common Factor of 308420

Related Greatest Common Factor of 308424

Frequently Asked Questions on GCF of 308420 and 308424

1. What is the GCF of 308420 and 308424?

Answer: GCF of 308420 and 308424 is 4.

2. What are the Factors of 308420?

Answer: Factors of 308420 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 2203, 4406, 8812, 11015, 15421, 22030, 30842, 44060, 61684, 77105, 154210, 308420. There are 24 integers that are factors of 308420. The greatest factor of 308420 is 308420.

3. What are the Factors of 308424?

Answer: Factors of 308424 are 1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 181, 213, 284, 362, 426, 543, 568, 724, 852, 1086, 1448, 1704, 2172, 4344, 12851, 25702, 38553, 51404, 77106, 102808, 154212, 308424. There are 32 integers that are factors of 308424. The greatest factor of 308424 is 308424.

4. How to Find the GCF of 308420 and 308424?

Answer:

Greatest Common Factor of 308420 and 308424 = 4

Step 1: Find the prime factorization of 308420

308420 = 2 x 2 x 5 x 7 x 2203

Step 2: Find the prime factorization of 308424

308424 = 2 x 2 x 2 x 3 x 71 x 181

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 308420 and 308424 is 4