Greatest Common Factor of 15358 and 15362

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, 15362 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15358 and 15362 is 2.

GCF(15358,15362) = 2

GCF of 15358 and 15362

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

GCF of:
and

Greatest Common Factor of 15358 and 15362

GCF of 15358 and 15362 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 15362


2 15362
7681 7681
1

Prime factors of 15362 are 2,7681. Prime factorization of 15362 in exponential form is:

15362 = 21×76811

∴ So by taking common prime factors GCF of 15358 and 15362 is 2

Greatest Common Factor of 15358 and 15362 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 15362

List of positive integer factors of 15362 that divides 15362 without a remainder.

1,2,7681,15362

Greatest Common Factor

We found the factors and prime factorization of 15358 and 15362. The biggest common factor number is the GCF number.
So the greatest common factor 15358 and 15362 is 2.

Also check out the Least Common Multiple of 15358 and 15362

Properties of GCF 15358 and 15362

(i) The GCF of 15358 and 15362 is associative

GCF of 15358 and 15362 = GCF of 15362 and 15358

Related Greatest Common Factor of 15358

Related Greatest Common Factor of 15362

Frequently Asked Questions on GCF of 15358 and 15362

1. What is the GCF of 15358 and 15362?

Answer: GCF of 15358 and 15362 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 15362?

Answer: Factors of 15362 are 1, 2, 7681, 15362. There are 4 integers that are factors of 15362. The greatest factor of 15362 is 15362.

4. How to Find the GCF of 15358 and 15362?

Answer:

Greatest Common Factor of 15358 and 15362 = 2

Step 1: Find the prime factorization of 15358

15358 = 2 x 7 x 1097

Step 2: Find the prime factorization of 15362

15362 = 2 x 7681

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 15362 is 2