Greatest Common Factor of 15417 and 15423

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 15417, 15423 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15417 and 15423 is 3.

GCF(15417,15423) = 3

GCF of 15417 and 15423

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

GCF of:
and

Greatest Common Factor of 15417 and 15423

GCF of 15417 and 15423 is 3

Prime Factorization of 15417


3 15417
3 5139
3 1713
571 571
1

Prime factors of 15417 are 3,571. Prime factorization of 15417 in exponential form is:

15417 = 33×5711

Prime Factorization of 15423


3 15423
53 5141
97 97
1

Prime factors of 15423 are 3,53,97. Prime factorization of 15423 in exponential form is:

15423 = 31×531×971

∴ So by taking common prime factors GCF of 15417 and 15423 is 3

Greatest Common Factor of 15417 and 15423 by matching factors method

Factors of 15417

List of positive integer factors of 15417 that divides 15417 without a remainder.

1,3,9,27,571,1713,5139,15417

Factors of 15423

List of positive integer factors of 15423 that divides 15423 without a remainder.

1,3,53,97,159,291,5141,15423

Greatest Common Factor

We found the factors and prime factorization of 15417 and 15423. The biggest common factor number is the GCF number.
So the greatest common factor 15417 and 15423 is 3.

Also check out the Least Common Multiple of 15417 and 15423

Properties of GCF 15417 and 15423

(i) The GCF of 15417 and 15423 is associative

GCF of 15417 and 15423 = GCF of 15423 and 15417

Related Greatest Common Factor of 15417

Related Greatest Common Factor of 15423

Frequently Asked Questions on GCF of 15417 and 15423

1. What is the GCF of 15417 and 15423?

Answer: GCF of 15417 and 15423 is 3.

2. What are the Factors of 15417?

Answer: Factors of 15417 are 1, 3, 9, 27, 571, 1713, 5139, 15417. There are 8 integers that are factors of 15417. The greatest factor of 15417 is 15417.

3. What are the Factors of 15423?

Answer: Factors of 15423 are 1, 3, 53, 97, 159, 291, 5141, 15423. There are 8 integers that are factors of 15423. The greatest factor of 15423 is 15423.

4. How to Find the GCF of 15417 and 15423?

Answer:

Greatest Common Factor of 15417 and 15423 = 3

Step 1: Find the prime factorization of 15417

15417 = 3 x 3 x 3 x 571

Step 2: Find the prime factorization of 15423

15423 = 3 x 53 x 97

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

GCF = 3

Step 4: Therefore, the greatest common factor of 15417 and 15423 is 3