Greatest Common Factor of 309480 and 309484

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 309480, 309484 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 309480 and 309484 is 4.

GCF(309480,309484) = 4

GCF of 309480 and 309484

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

GCF of:
and

Greatest Common Factor of 309480 and 309484

GCF of 309480 and 309484 is 4

Prime Factorization of 309480


2 309480
2 154740
2 77370
3 38685
5 12895
2579 2579
1

Prime factors of 309480 are 2,3,5,2579. Prime factorization of 309480 in exponential form is:

309480 = 23×31×51×25791

Prime Factorization of 309484


2 309484
2 154742
7 77371
7 11053
1579 1579
1

Prime factors of 309484 are 2,7,1579. Prime factorization of 309484 in exponential form is:

309484 = 22×72×15791

∴ So by taking common prime factors GCF of 309480 and 309484 is 4

Greatest Common Factor of 309480 and 309484 by matching factors method

Factors of 309480

List of positive integer factors of 309480 that divides 309480 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120,2579,5158,7737,10316,12895,15474,20632,25790,30948,38685,51580,61896,77370,103160,154740,309480

Factors of 309484

List of positive integer factors of 309484 that divides 309484 without a remainder.

1,2,4,7,14,28,49,98,196,1579,3158,6316,11053,22106,44212,77371,154742,309484

Greatest Common Factor

We found the factors and prime factorization of 309480 and 309484. The biggest common factor number is the GCF number.
So the greatest common factor 309480 and 309484 is 4.

Also check out the Least Common Multiple of 309480 and 309484

Properties of GCF 309480 and 309484

(i) The GCF of 309480 and 309484 is associative

GCF of 309480 and 309484 = GCF of 309484 and 309480

Related Greatest Common Factor of 309480

Related Greatest Common Factor of 309484

Frequently Asked Questions on GCF of 309480 and 309484

1. What is the GCF of 309480 and 309484?

Answer: GCF of 309480 and 309484 is 4.

2. What are the Factors of 309480?

Answer: Factors of 309480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 2579, 5158, 7737, 10316, 12895, 15474, 20632, 25790, 30948, 38685, 51580, 61896, 77370, 103160, 154740, 309480. There are 32 integers that are factors of 309480. The greatest factor of 309480 is 309480.

3. What are the Factors of 309484?

Answer: Factors of 309484 are 1, 2, 4, 7, 14, 28, 49, 98, 196, 1579, 3158, 6316, 11053, 22106, 44212, 77371, 154742, 309484. There are 18 integers that are factors of 309484. The greatest factor of 309484 is 309484.

4. How to Find the GCF of 309480 and 309484?

Answer:

Greatest Common Factor of 309480 and 309484 = 4

Step 1: Find the prime factorization of 309480

309480 = 2 x 2 x 2 x 3 x 5 x 2579

Step 2: Find the prime factorization of 309484

309484 = 2 x 2 x 7 x 7 x 1579

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 309480 and 309484 is 4