Greatest Common Factor of 309416 and 309424

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 309416, 309424 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 309416 and 309424 is 8.

GCF(309416,309424) = 8

GCF of 309416 and 309424

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

GCF of:
and

Greatest Common Factor of 309416 and 309424

GCF of 309416 and 309424 is 8

Prime Factorization of 309416


2 309416
2 154708
2 77354
38677 38677
1

Prime factors of 309416 are 2,38677. Prime factorization of 309416 in exponential form is:

309416 = 23×386771

Prime Factorization of 309424


2 309424
2 154712
2 77356
2 38678
83 19339
233 233
1

Prime factors of 309424 are 2,83,233. Prime factorization of 309424 in exponential form is:

309424 = 24×831×2331

∴ So by taking common prime factors GCF of 309416 and 309424 is 8

Greatest Common Factor of 309416 and 309424 by matching factors method

Factors of 309416

List of positive integer factors of 309416 that divides 309416 without a remainder.

1,2,4,8,38677,77354,154708,309416

Factors of 309424

List of positive integer factors of 309424 that divides 309424 without a remainder.

1,2,4,8,16,83,166,233,332,466,664,932,1328,1864,3728,19339,38678,77356,154712,309424

Greatest Common Factor

We found the factors and prime factorization of 309416 and 309424. The biggest common factor number is the GCF number.
So the greatest common factor 309416 and 309424 is 8.

Also check out the Least Common Multiple of 309416 and 309424

Properties of GCF 309416 and 309424

(i) The GCF of 309416 and 309424 is associative

GCF of 309416 and 309424 = GCF of 309424 and 309416

Related Greatest Common Factor of 309416

Related Greatest Common Factor of 309424

Frequently Asked Questions on GCF of 309416 and 309424

1. What is the GCF of 309416 and 309424?

Answer: GCF of 309416 and 309424 is 8.

2. What are the Factors of 309416?

Answer: Factors of 309416 are 1, 2, 4, 8, 38677, 77354, 154708, 309416. There are 8 integers that are factors of 309416. The greatest factor of 309416 is 309416.

3. What are the Factors of 309424?

Answer: Factors of 309424 are 1, 2, 4, 8, 16, 83, 166, 233, 332, 466, 664, 932, 1328, 1864, 3728, 19339, 38678, 77356, 154712, 309424. There are 20 integers that are factors of 309424. The greatest factor of 309424 is 309424.

4. How to Find the GCF of 309416 and 309424?

Answer:

Greatest Common Factor of 309416 and 309424 = 8

Step 1: Find the prime factorization of 309416

309416 = 2 x 2 x 2 x 38677

Step 2: Find the prime factorization of 309424

309424 = 2 x 2 x 2 x 2 x 83 x 233

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 309416 and 309424 is 8