Greatest Common Factor of 309475 and 309480

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 309475, 309480 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 309475 and 309480 is 5.

GCF(309475,309480) = 5

GCF of 309475 and 309480

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

GCF of:
and

Greatest Common Factor of 309475 and 309480

GCF of 309475 and 309480 is 5

Prime Factorization of 309475


5 309475
5 61895
12379 12379
1

Prime factors of 309475 are 5,12379. Prime factorization of 309475 in exponential form is:

309475 = 52×123791

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

∴ So by taking common prime factors GCF of 309475 and 309480 is 5

Greatest Common Factor of 309475 and 309480 by matching factors method

Factors of 309475

List of positive integer factors of 309475 that divides 309475 without a remainder.

1,5,25,12379,61895,309475

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

Greatest Common Factor

We found the factors and prime factorization of 309475 and 309480. The biggest common factor number is the GCF number.
So the greatest common factor 309475 and 309480 is 5.

Also check out the Least Common Multiple of 309475 and 309480

Properties of GCF 309475 and 309480

(i) The GCF of 309475 and 309480 is associative

GCF of 309475 and 309480 = GCF of 309480 and 309475

Related Greatest Common Factor of 309475

Related Greatest Common Factor of 309480

Frequently Asked Questions on GCF of 309475 and 309480

1. What is the GCF of 309475 and 309480?

Answer: GCF of 309475 and 309480 is 5.

2. What are the Factors of 309475?

Answer: Factors of 309475 are 1, 5, 25, 12379, 61895, 309475. There are 6 integers that are factors of 309475. The greatest factor of 309475 is 309475.

3. 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.

4. How to Find the GCF of 309475 and 309480?

Answer:

Greatest Common Factor of 309475 and 309480 = 5

Step 1: Find the prime factorization of 309475

309475 = 5 x 5 x 12379

Step 2: Find the prime factorization of 309480

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

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

GCF = 5

Step 4: Therefore, the greatest common factor of 309475 and 309480 is 5