Greatest Common Factor of 47356 and 47364

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 47356, 47364 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 47356 and 47364 is 4.

GCF(47356,47364) = 4

GCF of 47356 and 47364

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

GCF of:
and

Greatest Common Factor of 47356 and 47364

GCF of 47356 and 47364 is 4

Prime Factorization of 47356


2 47356
2 23678
11839 11839
1

Prime factors of 47356 are 2,11839. Prime factorization of 47356 in exponential form is:

47356 = 22×118391

Prime Factorization of 47364


2 47364
2 23682
3 11841
3947 3947
1

Prime factors of 47364 are 2,3,3947. Prime factorization of 47364 in exponential form is:

47364 = 22×31×39471

∴ So by taking common prime factors GCF of 47356 and 47364 is 4

Greatest Common Factor of 47356 and 47364 by matching factors method

Factors of 47356

List of positive integer factors of 47356 that divides 47356 without a remainder.

1,2,4,11839,23678,47356

Factors of 47364

List of positive integer factors of 47364 that divides 47364 without a remainder.

1,2,3,4,6,12,3947,7894,11841,15788,23682,47364

Greatest Common Factor

We found the factors and prime factorization of 47356 and 47364. The biggest common factor number is the GCF number.
So the greatest common factor 47356 and 47364 is 4.

Also check out the Least Common Multiple of 47356 and 47364

Properties of GCF 47356 and 47364

(i) The GCF of 47356 and 47364 is associative

GCF of 47356 and 47364 = GCF of 47364 and 47356

Related Greatest Common Factor of 47356

Related Greatest Common Factor of 47364

Frequently Asked Questions on GCF of 47356 and 47364

1. What is the GCF of 47356 and 47364?

Answer: GCF of 47356 and 47364 is 4.

2. What are the Factors of 47356?

Answer: Factors of 47356 are 1, 2, 4, 11839, 23678, 47356. There are 6 integers that are factors of 47356. The greatest factor of 47356 is 47356.

3. What are the Factors of 47364?

Answer: Factors of 47364 are 1, 2, 3, 4, 6, 12, 3947, 7894, 11841, 15788, 23682, 47364. There are 12 integers that are factors of 47364. The greatest factor of 47364 is 47364.

4. How to Find the GCF of 47356 and 47364?

Answer:

Greatest Common Factor of 47356 and 47364 = 4

Step 1: Find the prime factorization of 47356

47356 = 2 x 2 x 11839

Step 2: Find the prime factorization of 47364

47364 = 2 x 2 x 3 x 3947

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 47356 and 47364 is 4