Greatest Common Factor of 47309 and 47312

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 47309, 47312 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 47309 and 47312 is 1.

GCF(47309,47312) = 1

GCF of 47309 and 47312

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

GCF of:
and

Greatest Common Factor of 47309 and 47312

GCF of 47309 and 47312 is 1

Prime Factorization of 47309


47309 47309
1

Prime factors of 47309 are 47309. Prime factorization of 47309 in exponential form is:

47309 = 473091

Prime Factorization of 47312


2 47312
2 23656
2 11828
2 5914
2957 2957
1

Prime factors of 47312 are 2.Prime factorization of 47312 in exponential form is:

47312 = 24×29571

∴ So by taking common prime factors GCF of 47309 and 47312 is 1

Greatest Common Factor of 47309 and 47312 by matching factors method

Factors of 47309

List of positive integer factors of 47309 that divides 47309 without a remainder.

1,47309

Factors of 47312

List of positive integer factors of 47312 that divides 47312 without a remainder.

1,2,4,8,16,2957,5914,11828,23656,47312

Greatest Common Factor

We found the factors and prime factorization of 47309 and 47312. The biggest common factor number is the GCF number.
So the greatest common factor 47309 and 47312 is 1.

Also check out the Least Common Multiple of 47309 and 47312

Properties of GCF 47309 and 47312

(i) The GCF of 47309 and 47312 is associative

GCF of 47309 and 47312 = GCF of 47312 and 47309

Related Greatest Common Factor of 47309

Related Greatest Common Factor of 47312

Frequently Asked Questions on GCF of 47309 and 47312

1. What is the GCF of 47309 and 47312?

Answer: GCF of 47309 and 47312 is 1.

2. What are the Factors of 47309?

Answer: Factors of 47309 are 1, 47309. There are 2 integers that are factors of 47309. The greatest factor of 47309 is 47309.

3. What are the Factors of 47312?

Answer: Factors of 47312 are 1, 2, 4, 8, 16, 2957, 5914, 11828, 23656, 47312. There are 10 integers that are factors of 47312. The greatest factor of 47312 is 47312.

4. How to Find the GCF of 47309 and 47312?

Answer:

Greatest Common Factor of 47309 and 47312 = 1

Step 1: Find the prime factorization of 47309

47309 = 47309

Step 2: Find the prime factorization of 47312

47312 = 2 x 2 x 2 x 2 x 2957

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 47309 and 47312 is 1