Greatest Common Factor of 25310 and 25315

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 25310, 25315 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 25310 and 25315 is 5.

GCF(25310,25315) = 5

GCF of 25310 and 25315

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

GCF of:
and

Greatest Common Factor of 25310 and 25315

GCF of 25310 and 25315 is 5

Prime Factorization of 25310


2 25310
5 12655
2531 2531
1

Prime factors of 25310 are 2,5,2531. Prime factorization of 25310 in exponential form is:

25310 = 21×51×25311

Prime Factorization of 25315


5 25315
61 5063
83 83
1

Prime factors of 25315 are 5,61,83. Prime factorization of 25315 in exponential form is:

25315 = 51×611×831

∴ So by taking common prime factors GCF of 25310 and 25315 is 5

Greatest Common Factor of 25310 and 25315 by matching factors method

Factors of 25310

List of positive integer factors of 25310 that divides 25310 without a remainder.

1,2,5,10,2531,5062,12655,25310

Factors of 25315

List of positive integer factors of 25315 that divides 25315 without a remainder.

1,5,61,83,305,415,5063,25315

Greatest Common Factor

We found the factors and prime factorization of 25310 and 25315. The biggest common factor number is the GCF number.
So the greatest common factor 25310 and 25315 is 5.

Also check out the Least Common Multiple of 25310 and 25315

Properties of GCF 25310 and 25315

(i) The GCF of 25310 and 25315 is associative

GCF of 25310 and 25315 = GCF of 25315 and 25310

Related Greatest Common Factor of 25310

Related Greatest Common Factor of 25315

Frequently Asked Questions on GCF of 25310 and 25315

1. What is the GCF of 25310 and 25315?

Answer: GCF of 25310 and 25315 is 5.

2. What are the Factors of 25310?

Answer: Factors of 25310 are 1, 2, 5, 10, 2531, 5062, 12655, 25310. There are 8 integers that are factors of 25310. The greatest factor of 25310 is 25310.

3. What are the Factors of 25315?

Answer: Factors of 25315 are 1, 5, 61, 83, 305, 415, 5063, 25315. There are 8 integers that are factors of 25315. The greatest factor of 25315 is 25315.

4. How to Find the GCF of 25310 and 25315?

Answer:

Greatest Common Factor of 25310 and 25315 = 5

Step 1: Find the prime factorization of 25310

25310 = 2 x 5 x 2531

Step 2: Find the prime factorization of 25315

25315 = 5 x 61 x 83

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

GCF = 5

Step 4: Therefore, the greatest common factor of 25310 and 25315 is 5