Greatest Common Factor of 14317 and 14325

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 14317, 14325 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 14317 and 14325 is 1.

GCF(14317,14325) = 1

GCF of 14317 and 14325

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

GCF of:
and

Greatest Common Factor of 14317 and 14325

GCF of 14317 and 14325 is 1

Prime Factorization of 14317


103 14317
139 139
1

Prime factors of 14317 are 103,139. Prime factorization of 14317 in exponential form is:

14317 = 1031×1391

Prime Factorization of 14325


3 14325
5 4775
5 955
191 191
1

Prime factors of 14325 are 3,5,191. Prime factorization of 14325 in exponential form is:

14325 = 31×52×1911

∴ So by taking common prime factors GCF of 14317 and 14325 is 1

Greatest Common Factor of 14317 and 14325 by matching factors method

Factors of 14317

List of positive integer factors of 14317 that divides 14317 without a remainder.

1,103,139,14317

Factors of 14325

List of positive integer factors of 14325 that divides 14325 without a remainder.

1,3,5,15,25,75,191,573,955,2865,4775,14325

Greatest Common Factor

We found the factors and prime factorization of 14317 and 14325. The biggest common factor number is the GCF number.
So the greatest common factor 14317 and 14325 is 1.

Also check out the Least Common Multiple of 14317 and 14325

Properties of GCF 14317 and 14325

(i) The GCF of 14317 and 14325 is associative

GCF of 14317 and 14325 = GCF of 14325 and 14317

Related Greatest Common Factor of 14317

Related Greatest Common Factor of 14325

Frequently Asked Questions on GCF of 14317 and 14325

1. What is the GCF of 14317 and 14325?

Answer: GCF of 14317 and 14325 is 1.

2. What are the Factors of 14317?

Answer: Factors of 14317 are 1, 103, 139, 14317. There are 4 integers that are factors of 14317. The greatest factor of 14317 is 14317.

3. What are the Factors of 14325?

Answer: Factors of 14325 are 1, 3, 5, 15, 25, 75, 191, 573, 955, 2865, 4775, 14325. There are 12 integers that are factors of 14325. The greatest factor of 14325 is 14325.

4. How to Find the GCF of 14317 and 14325?

Answer:

Greatest Common Factor of 14317 and 14325 = 1

Step 1: Find the prime factorization of 14317

14317 = 103 x 139

Step 2: Find the prime factorization of 14325

14325 = 3 x 5 x 5 x 191

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 14317 and 14325 is 1