Greatest Common Factor of 309427 and 309432

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 309427, 309432 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 309427 and 309432 is 1.

GCF(309427,309432) = 1

GCF of 309427 and 309432

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

GCF of:
and

Greatest Common Factor of 309427 and 309432

GCF of 309427 and 309432 is 1

Prime Factorization of 309427


41 309427
7547 7547
1

Prime factors of 309427 are 41,7547. Prime factorization of 309427 in exponential form is:

309427 = 411×75471

Prime Factorization of 309432


2 309432
2 154716
2 77358
3 38679
12893 12893
1

Prime factors of 309432 are 2,3,12893. Prime factorization of 309432 in exponential form is:

309432 = 23×31×128931

∴ So by taking common prime factors GCF of 309427 and 309432 is 1

Greatest Common Factor of 309427 and 309432 by matching factors method

Factors of 309427

List of positive integer factors of 309427 that divides 309427 without a remainder.

1,41,7547,309427

Factors of 309432

List of positive integer factors of 309432 that divides 309432 without a remainder.

1,2,3,4,6,8,12,24,12893,25786,38679,51572,77358,103144,154716,309432

Greatest Common Factor

We found the factors and prime factorization of 309427 and 309432. The biggest common factor number is the GCF number.
So the greatest common factor 309427 and 309432 is 1.

Also check out the Least Common Multiple of 309427 and 309432

Properties of GCF 309427 and 309432

(i) The GCF of 309427 and 309432 is associative

GCF of 309427 and 309432 = GCF of 309432 and 309427

Frequently Asked Questions on GCF of 309427 and 309432

1. What is the GCF of 309427 and 309432?

Answer: GCF of 309427 and 309432 is 1.

2. What are the Factors of 309427?

Answer: Factors of 309427 are 1, 41, 7547, 309427. There are 4 integers that are factors of 309427. The greatest factor of 309427 is 309427.

3. What are the Factors of 309432?

Answer: Factors of 309432 are 1, 2, 3, 4, 6, 8, 12, 24, 12893, 25786, 38679, 51572, 77358, 103144, 154716, 309432. There are 16 integers that are factors of 309432. The greatest factor of 309432 is 309432.

4. How to Find the GCF of 309427 and 309432?

Answer:

Greatest Common Factor of 309427 and 309432 = 1

Step 1: Find the prime factorization of 309427

309427 = 41 x 7547

Step 2: Find the prime factorization of 309432

309432 = 2 x 2 x 2 x 3 x 12893

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 309427 and 309432 is 1