Greatest Common Factor of 23380 and 23384

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 23380, 23384 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 23380 and 23384 is 4.

GCF(23380,23384) = 4

GCF of 23380 and 23384

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

GCF of:
and

Greatest Common Factor of 23380 and 23384

GCF of 23380 and 23384 is 4

Prime Factorization of 23380


2 23380
2 11690
5 5845
7 1169
167 167
1

Prime factors of 23380 are 2,5,7,167. Prime factorization of 23380 in exponential form is:

23380 = 22×51×71×1671

Prime Factorization of 23384


2 23384
2 11692
2 5846
37 2923
79 79
1

Prime factors of 23384 are 2,37,79. Prime factorization of 23384 in exponential form is:

23384 = 23×371×791

∴ So by taking common prime factors GCF of 23380 and 23384 is 4

Greatest Common Factor of 23380 and 23384 by matching factors method

Factors of 23380

List of positive integer factors of 23380 that divides 23380 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140,167,334,668,835,1169,1670,2338,3340,4676,5845,11690,23380

Factors of 23384

List of positive integer factors of 23384 that divides 23384 without a remainder.

1,2,4,8,37,74,79,148,158,296,316,632,2923,5846,11692,23384

Greatest Common Factor

We found the factors and prime factorization of 23380 and 23384. The biggest common factor number is the GCF number.
So the greatest common factor 23380 and 23384 is 4.

Also check out the Least Common Multiple of 23380 and 23384

Properties of GCF 23380 and 23384

(i) The GCF of 23380 and 23384 is associative

GCF of 23380 and 23384 = GCF of 23384 and 23380

Related Greatest Common Factor of 23380

Related Greatest Common Factor of 23384

Frequently Asked Questions on GCF of 23380 and 23384

1. What is the GCF of 23380 and 23384?

Answer: GCF of 23380 and 23384 is 4.

2. What are the Factors of 23380?

Answer: Factors of 23380 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 167, 334, 668, 835, 1169, 1670, 2338, 3340, 4676, 5845, 11690, 23380. There are 24 integers that are factors of 23380. The greatest factor of 23380 is 23380.

3. What are the Factors of 23384?

Answer: Factors of 23384 are 1, 2, 4, 8, 37, 74, 79, 148, 158, 296, 316, 632, 2923, 5846, 11692, 23384. There are 16 integers that are factors of 23384. The greatest factor of 23384 is 23384.

4. How to Find the GCF of 23380 and 23384?

Answer:

Greatest Common Factor of 23380 and 23384 = 4

Step 1: Find the prime factorization of 23380

23380 = 2 x 2 x 5 x 7 x 167

Step 2: Find the prime factorization of 23384

23384 = 2 x 2 x 2 x 37 x 79

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 23380 and 23384 is 4