Greatest Common Factor of 25302 and 25308

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, 25308 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 25302 and 25308 is 6.

GCF(25302,25308) = 6

GCF of 25302 and 25308

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

GCF of:
and

Greatest Common Factor of 25302 and 25308

GCF of 25302 and 25308 is 6

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 25308


2 25308
2 12654
3 6327
3 2109
19 703
37 37
1

Prime factors of 25308 are 2,3,19,37. Prime factorization of 25308 in exponential form is:

25308 = 22×32×191×371

∴ So by taking common prime factors GCF of 25302 and 25308 is 6

Greatest Common Factor of 25302 and 25308 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 25308

List of positive integer factors of 25308 that divides 25308 without a remainder.

1,2,3,4,6,9,12,18,19,36,37,38,57,74,76,111,114,148,171,222,228,333,342,444,666,684,703,1332,1406,2109,2812,4218,6327,8436,12654,25308

Greatest Common Factor

We found the factors and prime factorization of 25302 and 25308. The biggest common factor number is the GCF number.
So the greatest common factor 25302 and 25308 is 6.

Also check out the Least Common Multiple of 25302 and 25308

Properties of GCF 25302 and 25308

(i) The GCF of 25302 and 25308 is associative

GCF of 25302 and 25308 = GCF of 25308 and 25302

Related Greatest Common Factor of 25302

Related Greatest Common Factor of 25308

Frequently Asked Questions on GCF of 25302 and 25308

1. What is the GCF of 25302 and 25308?

Answer: GCF of 25302 and 25308 is 6.

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 25308?

Answer: Factors of 25308 are 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 37, 38, 57, 74, 76, 111, 114, 148, 171, 222, 228, 333, 342, 444, 666, 684, 703, 1332, 1406, 2109, 2812, 4218, 6327, 8436, 12654, 25308. There are 36 integers that are factors of 25308. The greatest factor of 25308 is 25308.

4. How to Find the GCF of 25302 and 25308?

Answer:

Greatest Common Factor of 25302 and 25308 = 6

Step 1: Find the prime factorization of 25302

25302 = 2 x 3 x 4217

Step 2: Find the prime factorization of 25308

25308 = 2 x 2 x 3 x 3 x 19 x 37

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 25302 and 25308 is 6