Greatest Common Factor of 15417 and 15425

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, 15425 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 15417 and 15425 is 1.

GCF(15417,15425) = 1

GCF of 15417 and 15425

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

GCF of:
and

Greatest Common Factor of 15417 and 15425

GCF of 15417 and 15425 is 1

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 15425


5 15425
5 3085
617 617
1

Prime factors of 15425 are 5,617. Prime factorization of 15425 in exponential form is:

15425 = 52×6171

∴ So by taking common prime factors GCF of 15417 and 15425 is 1

Greatest Common Factor of 15417 and 15425 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 15425

List of positive integer factors of 15425 that divides 15425 without a remainder.

1,5,25,617,3085,15425

Greatest Common Factor

We found the factors and prime factorization of 15417 and 15425. The biggest common factor number is the GCF number.
So the greatest common factor 15417 and 15425 is 1.

Also check out the Least Common Multiple of 15417 and 15425

Properties of GCF 15417 and 15425

(i) The GCF of 15417 and 15425 is associative

GCF of 15417 and 15425 = GCF of 15425 and 15417

Related Greatest Common Factor of 15417

Related Greatest Common Factor of 15425

Frequently Asked Questions on GCF of 15417 and 15425

1. What is the GCF of 15417 and 15425?

Answer: GCF of 15417 and 15425 is 1.

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 15425?

Answer: Factors of 15425 are 1, 5, 25, 617, 3085, 15425. There are 6 integers that are factors of 15425. The greatest factor of 15425 is 15425.

4. How to Find the GCF of 15417 and 15425?

Answer:

Greatest Common Factor of 15417 and 15425 = 1

Step 1: Find the prime factorization of 15417

15417 = 3 x 3 x 3 x 571

Step 2: Find the prime factorization of 15425

15425 = 5 x 5 x 617

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 15417 and 15425 is 1