Greatest Common Factor of 15364 and 15367

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 15364, 15367 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15364 and 15367 is 1.

GCF(15364,15367) = 1

GCF of 15364 and 15367

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

GCF of:
and

Greatest Common Factor of 15364 and 15367

GCF of 15364 and 15367 is 1

Prime Factorization of 15364


2 15364
2 7682
23 3841
167 167
1

Prime factors of 15364 are 2,23,167. Prime factorization of 15364 in exponential form is:

15364 = 22×231×1671

Prime Factorization of 15367


11 15367
11 1397
127 127
1

Prime factors of 15367 are 11,127. Prime factorization of 15367 in exponential form is:

15367 = 112×1271

∴ So by taking common prime factors GCF of 15364 and 15367 is 1

Greatest Common Factor of 15364 and 15367 by matching factors method

Factors of 15364

List of positive integer factors of 15364 that divides 15364 without a remainder.

1,2,4,23,46,92,167,334,668,3841,7682,15364

Factors of 15367

List of positive integer factors of 15367 that divides 15367 without a remainder.

1,11,121,127,1397,15367

Greatest Common Factor

We found the factors and prime factorization of 15364 and 15367. The biggest common factor number is the GCF number.
So the greatest common factor 15364 and 15367 is 1.

Also check out the Least Common Multiple of 15364 and 15367

Properties of GCF 15364 and 15367

(i) The GCF of 15364 and 15367 is associative

GCF of 15364 and 15367 = GCF of 15367 and 15364

Related Greatest Common Factor of 15364

Related Greatest Common Factor of 15367

Frequently Asked Questions on GCF of 15364 and 15367

1. What is the GCF of 15364 and 15367?

Answer: GCF of 15364 and 15367 is 1.

2. What are the Factors of 15364?

Answer: Factors of 15364 are 1, 2, 4, 23, 46, 92, 167, 334, 668, 3841, 7682, 15364. There are 12 integers that are factors of 15364. The greatest factor of 15364 is 15364.

3. What are the Factors of 15367?

Answer: Factors of 15367 are 1, 11, 121, 127, 1397, 15367. There are 6 integers that are factors of 15367. The greatest factor of 15367 is 15367.

4. How to Find the GCF of 15364 and 15367?

Answer:

Greatest Common Factor of 15364 and 15367 = 1

Step 1: Find the prime factorization of 15364

15364 = 2 x 2 x 23 x 167

Step 2: Find the prime factorization of 15367

15367 = 11 x 11 x 127

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 15364 and 15367 is 1