Greatest Common Factor of 2356 and 2364

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 2356, 2364 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2356 and 2364 is 4.

GCF(2356,2364) = 4

GCF of 2356 and 2364

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

GCF of:
and

Greatest Common Factor of 2356 and 2364

GCF of 2356 and 2364 is 4

Prime Factorization of 2356


2 2356
2 1178
19 589
31 31
1

Prime factors of 2356 are 2,19,31. Prime factorization of 2356 in exponential form is:

2356 = 22×191×311

Prime Factorization of 2364


2 2364
2 1182
3 591
197 197
1

Prime factors of 2364 are 2,3,197. Prime factorization of 2364 in exponential form is:

2364 = 22×31×1971

∴ So by taking common prime factors GCF of 2356 and 2364 is 4

Greatest Common Factor of 2356 and 2364 by matching factors method

Factors of 2356

List of positive integer factors of 2356 that divides 2356 without a remainder.

1,2,4,19,31,38,62,76,124,589,1178,2356

Factors of 2364

List of positive integer factors of 2364 that divides 2364 without a remainder.

1,2,3,4,6,12,197,394,591,788,1182,2364

Greatest Common Factor

We found the factors and prime factorization of 2356 and 2364. The biggest common factor number is the GCF number.
So the greatest common factor 2356 and 2364 is 4.

Also check out the Least Common Multiple of 2356 and 2364

Properties of GCF 2356 and 2364

(i) The GCF of 2356 and 2364 is associative

GCF of 2356 and 2364 = GCF of 2364 and 2356

Related Greatest Common Factor of 2356

Related Greatest Common Factor of 2364

Frequently Asked Questions on GCF of 2356 and 2364

1. What is the GCF of 2356 and 2364?

Answer: GCF of 2356 and 2364 is 4.

2. What are the Factors of 2356?

Answer: Factors of 2356 are 1, 2, 4, 19, 31, 38, 62, 76, 124, 589, 1178, 2356. There are 12 integers that are factors of 2356. The greatest factor of 2356 is 2356.

3. What are the Factors of 2364?

Answer: Factors of 2364 are 1, 2, 3, 4, 6, 12, 197, 394, 591, 788, 1182, 2364. There are 12 integers that are factors of 2364. The greatest factor of 2364 is 2364.

4. How to Find the GCF of 2356 and 2364?

Answer:

Greatest Common Factor of 2356 and 2364 = 4

Step 1: Find the prime factorization of 2356

2356 = 2 x 2 x 19 x 31

Step 2: Find the prime factorization of 2364

2364 = 2 x 2 x 3 x 197

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 2356 and 2364 is 4