Greatest Common Factor of 15358 and 15364

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 15358, 15364 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15358 and 15364 is 2.

GCF(15358,15364) = 2

GCF of 15358 and 15364

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

GCF of:
and

Greatest Common Factor of 15358 and 15364

GCF of 15358 and 15364 is 2

Prime Factorization of 15358


2 15358
7 7679
1097 1097
1

Prime factors of 15358 are 2,7,1097. Prime factorization of 15358 in exponential form is:

15358 = 21×71×10971

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

∴ So by taking common prime factors GCF of 15358 and 15364 is 2

Greatest Common Factor of 15358 and 15364 by matching factors method

Factors of 15358

List of positive integer factors of 15358 that divides 15358 without a remainder.

1,2,7,14,1097,2194,7679,15358

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

Greatest Common Factor

We found the factors and prime factorization of 15358 and 15364. The biggest common factor number is the GCF number.
So the greatest common factor 15358 and 15364 is 2.

Also check out the Least Common Multiple of 15358 and 15364

Properties of GCF 15358 and 15364

(i) The GCF of 15358 and 15364 is associative

GCF of 15358 and 15364 = GCF of 15364 and 15358

Related Greatest Common Factor of 15358

Related Greatest Common Factor of 15364

Frequently Asked Questions on GCF of 15358 and 15364

1. What is the GCF of 15358 and 15364?

Answer: GCF of 15358 and 15364 is 2.

2. What are the Factors of 15358?

Answer: Factors of 15358 are 1, 2, 7, 14, 1097, 2194, 7679, 15358. There are 8 integers that are factors of 15358. The greatest factor of 15358 is 15358.

3. 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.

4. How to Find the GCF of 15358 and 15364?

Answer:

Greatest Common Factor of 15358 and 15364 = 2

Step 1: Find the prime factorization of 15358

15358 = 2 x 7 x 1097

Step 2: Find the prime factorization of 15364

15364 = 2 x 2 x 23 x 167

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

GCF = 2

Step 4: Therefore, the greatest common factor of 15358 and 15364 is 2