Greatest Common Factor of 25311 and 25316

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 25311, 25316 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 25311 and 25316 is 1.

GCF(25311,25316) = 1

GCF of 25311 and 25316

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

GCF of:
and

Greatest Common Factor of 25311 and 25316

GCF of 25311 and 25316 is 1

Prime Factorization of 25311


3 25311
11 8437
13 767
59 59
1

Prime factors of 25311 are 3,11,13,59. Prime factorization of 25311 in exponential form is:

25311 = 31×111×131×591

Prime Factorization of 25316


2 25316
2 12658
6329 6329
1

Prime factors of 25316 are 2,6329. Prime factorization of 25316 in exponential form is:

25316 = 22×63291

∴ So by taking common prime factors GCF of 25311 and 25316 is 1

Greatest Common Factor of 25311 and 25316 by matching factors method

Factors of 25311

List of positive integer factors of 25311 that divides 25311 without a remainder.

1,3,11,13,33,39,59,143,177,429,649,767,1947,2301,8437,25311

Factors of 25316

List of positive integer factors of 25316 that divides 25316 without a remainder.

1,2,4,6329,12658,25316

Greatest Common Factor

We found the factors and prime factorization of 25311 and 25316. The biggest common factor number is the GCF number.
So the greatest common factor 25311 and 25316 is 1.

Also check out the Least Common Multiple of 25311 and 25316

Properties of GCF 25311 and 25316

(i) The GCF of 25311 and 25316 is associative

GCF of 25311 and 25316 = GCF of 25316 and 25311

Related Greatest Common Factor of 25311

Related Greatest Common Factor of 25316

Frequently Asked Questions on GCF of 25311 and 25316

1. What is the GCF of 25311 and 25316?

Answer: GCF of 25311 and 25316 is 1.

2. What are the Factors of 25311?

Answer: Factors of 25311 are 1, 3, 11, 13, 33, 39, 59, 143, 177, 429, 649, 767, 1947, 2301, 8437, 25311. There are 16 integers that are factors of 25311. The greatest factor of 25311 is 25311.

3. What are the Factors of 25316?

Answer: Factors of 25316 are 1, 2, 4, 6329, 12658, 25316. There are 6 integers that are factors of 25316. The greatest factor of 25316 is 25316.

4. How to Find the GCF of 25311 and 25316?

Answer:

Greatest Common Factor of 25311 and 25316 = 1

Step 1: Find the prime factorization of 25311

25311 = 3 x 11 x 13 x 59

Step 2: Find the prime factorization of 25316

25316 = 2 x 2 x 6329

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 25311 and 25316 is 1