Greatest Common Factor of 47339 and 47344

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 47339, 47344 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 47339 and 47344 is 1.

GCF(47339,47344) = 1

GCF of 47339 and 47344

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

GCF of:
and

Greatest Common Factor of 47339 and 47344

GCF of 47339 and 47344 is 1

Prime Factorization of 47339


47339 47339
1

Prime factors of 47339 are 47339. Prime factorization of 47339 in exponential form is:

47339 = 473391

Prime Factorization of 47344


2 47344
2 23672
2 11836
2 5918
11 2959
269 269
1

Prime factors of 47344 are 2.Prime factorization of 47344 in exponential form is:

47344 = 24×111×2691

∴ So by taking common prime factors GCF of 47339 and 47344 is 1

Greatest Common Factor of 47339 and 47344 by matching factors method

Factors of 47339

List of positive integer factors of 47339 that divides 47339 without a remainder.

1,47339

Factors of 47344

List of positive integer factors of 47344 that divides 47344 without a remainder.

1,2,4,8,11,16,22,44,88,176,269,538,1076,2152,2959,4304,5918,11836,23672,47344

Greatest Common Factor

We found the factors and prime factorization of 47339 and 47344. The biggest common factor number is the GCF number.
So the greatest common factor 47339 and 47344 is 1.

Also check out the Least Common Multiple of 47339 and 47344

Properties of GCF 47339 and 47344

(i) The GCF of 47339 and 47344 is associative

GCF of 47339 and 47344 = GCF of 47344 and 47339

Frequently Asked Questions on GCF of 47339 and 47344

1. What is the GCF of 47339 and 47344?

Answer: GCF of 47339 and 47344 is 1.

2. What are the Factors of 47339?

Answer: Factors of 47339 are 1, 47339. There are 2 integers that are factors of 47339. The greatest factor of 47339 is 47339.

3. What are the Factors of 47344?

Answer: Factors of 47344 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 269, 538, 1076, 2152, 2959, 4304, 5918, 11836, 23672, 47344. There are 20 integers that are factors of 47344. The greatest factor of 47344 is 47344.

4. How to Find the GCF of 47339 and 47344?

Answer:

Greatest Common Factor of 47339 and 47344 = 1

Step 1: Find the prime factorization of 47339

47339 = 47339

Step 2: Find the prime factorization of 47344

47344 = 2 x 2 x 2 x 2 x 11 x 269

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 47339 and 47344 is 1