Greatest Common Factor of 25302 and 25307

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 25302, 25307 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 25302 and 25307 is 1.

GCF(25302,25307) = 1

GCF of 25302 and 25307

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

GCF of:
and

Greatest Common Factor of 25302 and 25307

GCF of 25302 and 25307 is 1

Prime Factorization of 25302


2 25302
3 12651
4217 4217
1

Prime factors of 25302 are 2,3,4217. Prime factorization of 25302 in exponential form is:

25302 = 21×31×42171

Prime Factorization of 25307


25307 25307
1

Prime factors of 25307 are 25307. Prime factorization of 25307 in exponential form is:

25307 = 253071

∴ So by taking common prime factors GCF of 25302 and 25307 is 1

Greatest Common Factor of 25302 and 25307 by matching factors method

Factors of 25302

List of positive integer factors of 25302 that divides 25302 without a remainder.

1,2,3,6,4217,8434,12651,25302

Factors of 25307

List of positive integer factors of 25307 that divides 25307 without a remainder.

1,25307

Greatest Common Factor

We found the factors and prime factorization of 25302 and 25307. The biggest common factor number is the GCF number.
So the greatest common factor 25302 and 25307 is 1.

Also check out the Least Common Multiple of 25302 and 25307

Properties of GCF 25302 and 25307

(i) The GCF of 25302 and 25307 is associative

GCF of 25302 and 25307 = GCF of 25307 and 25302

Related Greatest Common Factor of 25302

Related Greatest Common Factor of 25307

Frequently Asked Questions on GCF of 25302 and 25307

1. What is the GCF of 25302 and 25307?

Answer: GCF of 25302 and 25307 is 1.

2. What are the Factors of 25302?

Answer: Factors of 25302 are 1, 2, 3, 6, 4217, 8434, 12651, 25302. There are 8 integers that are factors of 25302. The greatest factor of 25302 is 25302.

3. What are the Factors of 25307?

Answer: Factors of 25307 are 1, 25307. There are 2 integers that are factors of 25307. The greatest factor of 25307 is 25307.

4. How to Find the GCF of 25302 and 25307?

Answer:

Greatest Common Factor of 25302 and 25307 = 1

Step 1: Find the prime factorization of 25302

25302 = 2 x 3 x 4217

Step 2: Find the prime factorization of 25307

25307 = 25307

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 25302 and 25307 is 1