Greatest Common Factor of 15379 and 15384

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 15379, 15384 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15379 and 15384 is 1.

GCF(15379,15384) = 1

GCF of 15379 and 15384

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

GCF of:
and

Greatest Common Factor of 15379 and 15384

GCF of 15379 and 15384 is 1

Prime Factorization of 15379


7 15379
13 2197
13 169
13 13
1

Prime factors of 15379 are 7,13. Prime factorization of 15379 in exponential form is:

15379 = 71×133

Prime Factorization of 15384


2 15384
2 7692
2 3846
3 1923
641 641
1

Prime factors of 15384 are 2,3,641. Prime factorization of 15384 in exponential form is:

15384 = 23×31×6411

∴ So by taking common prime factors GCF of 15379 and 15384 is 1

Greatest Common Factor of 15379 and 15384 by matching factors method

Factors of 15379

List of positive integer factors of 15379 that divides 15379 without a remainder.

1,7,13,91,169,1183,2197,15379

Factors of 15384

List of positive integer factors of 15384 that divides 15384 without a remainder.

1,2,3,4,6,8,12,24,641,1282,1923,2564,3846,5128,7692,15384

Greatest Common Factor

We found the factors and prime factorization of 15379 and 15384. The biggest common factor number is the GCF number.
So the greatest common factor 15379 and 15384 is 1.

Also check out the Least Common Multiple of 15379 and 15384

Properties of GCF 15379 and 15384

(i) The GCF of 15379 and 15384 is associative

GCF of 15379 and 15384 = GCF of 15384 and 15379

Related Greatest Common Factor of 15379

Related Greatest Common Factor of 15384

Frequently Asked Questions on GCF of 15379 and 15384

1. What is the GCF of 15379 and 15384?

Answer: GCF of 15379 and 15384 is 1.

2. What are the Factors of 15379?

Answer: Factors of 15379 are 1, 7, 13, 91, 169, 1183, 2197, 15379. There are 8 integers that are factors of 15379. The greatest factor of 15379 is 15379.

3. What are the Factors of 15384?

Answer: Factors of 15384 are 1, 2, 3, 4, 6, 8, 12, 24, 641, 1282, 1923, 2564, 3846, 5128, 7692, 15384. There are 16 integers that are factors of 15384. The greatest factor of 15384 is 15384.

4. How to Find the GCF of 15379 and 15384?

Answer:

Greatest Common Factor of 15379 and 15384 = 1

Step 1: Find the prime factorization of 15379

15379 = 7 x 13 x 13 x 13

Step 2: Find the prime factorization of 15384

15384 = 2 x 2 x 2 x 3 x 641

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 15379 and 15384 is 1