Greatest Common Factor of 47314 and 47321

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 47314, 47321 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 47314 and 47321 is 1.

GCF(47314,47321) = 1

GCF of 47314 and 47321

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

GCF of:
and

Greatest Common Factor of 47314 and 47321

GCF of 47314 and 47321 is 1

Prime Factorization of 47314


2 47314
41 23657
577 577
1

Prime factors of 47314 are 2,41,577. Prime factorization of 47314 in exponential form is:

47314 = 21×411×5771

Prime Factorization of 47321


79 47321
599 599
1

Prime factors of 47321 are 79,599. Prime factorization of 47321 in exponential form is:

47321 = 791×5991

∴ So by taking common prime factors GCF of 47314 and 47321 is 1

Greatest Common Factor of 47314 and 47321 by matching factors method

Factors of 47314

List of positive integer factors of 47314 that divides 47314 without a remainder.

1,2,41,82,577,1154,23657,47314

Factors of 47321

List of positive integer factors of 47321 that divides 47321 without a remainder.

1,79,599,47321

Greatest Common Factor

We found the factors and prime factorization of 47314 and 47321. The biggest common factor number is the GCF number.
So the greatest common factor 47314 and 47321 is 1.

Also check out the Least Common Multiple of 47314 and 47321

Properties of GCF 47314 and 47321

(i) The GCF of 47314 and 47321 is associative

GCF of 47314 and 47321 = GCF of 47321 and 47314

Related Greatest Common Factor of 47314

Related Greatest Common Factor of 47321

Frequently Asked Questions on GCF of 47314 and 47321

1. What is the GCF of 47314 and 47321?

Answer: GCF of 47314 and 47321 is 1.

2. What are the Factors of 47314?

Answer: Factors of 47314 are 1, 2, 41, 82, 577, 1154, 23657, 47314. There are 8 integers that are factors of 47314. The greatest factor of 47314 is 47314.

3. What are the Factors of 47321?

Answer: Factors of 47321 are 1, 79, 599, 47321. There are 4 integers that are factors of 47321. The greatest factor of 47321 is 47321.

4. How to Find the GCF of 47314 and 47321?

Answer:

Greatest Common Factor of 47314 and 47321 = 1

Step 1: Find the prime factorization of 47314

47314 = 2 x 41 x 577

Step 2: Find the prime factorization of 47321

47321 = 79 x 599

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 47314 and 47321 is 1