Greatest Common Factor of 308424 and 308432

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 308424, 308432 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 308424 and 308432 is 8.

GCF(308424,308432) = 8

GCF of 308424 and 308432

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

GCF of:
and

Greatest Common Factor of 308424 and 308432

GCF of 308424 and 308432 is 8

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

Prime Factorization of 308432


2 308432
2 154216
2 77108
2 38554
37 19277
521 521
1

Prime factors of 308432 are 2,37,521. Prime factorization of 308432 in exponential form is:

308432 = 24×371×5211

∴ So by taking common prime factors GCF of 308424 and 308432 is 8

Greatest Common Factor of 308424 and 308432 by matching factors method

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

Factors of 308432

List of positive integer factors of 308432 that divides 308432 without a remainder.

1,2,4,8,16,37,74,148,296,521,592,1042,2084,4168,8336,19277,38554,77108,154216,308432

Greatest Common Factor

We found the factors and prime factorization of 308424 and 308432. The biggest common factor number is the GCF number.
So the greatest common factor 308424 and 308432 is 8.

Also check out the Least Common Multiple of 308424 and 308432

Properties of GCF 308424 and 308432

(i) The GCF of 308424 and 308432 is associative

GCF of 308424 and 308432 = GCF of 308432 and 308424

Related Greatest Common Factor of 308424

Related Greatest Common Factor of 308432

Frequently Asked Questions on GCF of 308424 and 308432

1. What is the GCF of 308424 and 308432?

Answer: GCF of 308424 and 308432 is 8.

2. 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.

3. What are the Factors of 308432?

Answer: Factors of 308432 are 1, 2, 4, 8, 16, 37, 74, 148, 296, 521, 592, 1042, 2084, 4168, 8336, 19277, 38554, 77108, 154216, 308432. There are 20 integers that are factors of 308432. The greatest factor of 308432 is 308432.

4. How to Find the GCF of 308424 and 308432?

Answer:

Greatest Common Factor of 308424 and 308432 = 8

Step 1: Find the prime factorization of 308424

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

Step 2: Find the prime factorization of 308432

308432 = 2 x 2 x 2 x 2 x 37 x 521

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 308424 and 308432 is 8