Greatest Common Factor of 25268 and 25276

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 25268, 25276 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 25268 and 25276 is 4.

GCF(25268,25276) = 4

GCF of 25268 and 25276

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

GCF of:
and

Greatest Common Factor of 25268 and 25276

GCF of 25268 and 25276 is 4

Prime Factorization of 25268


2 25268
2 12634
6317 6317
1

Prime factors of 25268 are 2,6317. Prime factorization of 25268 in exponential form is:

25268 = 22×63171

Prime Factorization of 25276


2 25276
2 12638
71 6319
89 89
1

Prime factors of 25276 are 2,71,89. Prime factorization of 25276 in exponential form is:

25276 = 22×711×891

∴ So by taking common prime factors GCF of 25268 and 25276 is 4

Greatest Common Factor of 25268 and 25276 by matching factors method

Factors of 25268

List of positive integer factors of 25268 that divides 25268 without a remainder.

1,2,4,6317,12634,25268

Factors of 25276

List of positive integer factors of 25276 that divides 25276 without a remainder.

1,2,4,71,89,142,178,284,356,6319,12638,25276

Greatest Common Factor

We found the factors and prime factorization of 25268 and 25276. The biggest common factor number is the GCF number.
So the greatest common factor 25268 and 25276 is 4.

Also check out the Least Common Multiple of 25268 and 25276

Properties of GCF 25268 and 25276

(i) The GCF of 25268 and 25276 is associative

GCF of 25268 and 25276 = GCF of 25276 and 25268

Related Greatest Common Factor of 25268

Related Greatest Common Factor of 25276

Frequently Asked Questions on GCF of 25268 and 25276

1. What is the GCF of 25268 and 25276?

Answer: GCF of 25268 and 25276 is 4.

2. What are the Factors of 25268?

Answer: Factors of 25268 are 1, 2, 4, 6317, 12634, 25268. There are 6 integers that are factors of 25268. The greatest factor of 25268 is 25268.

3. What are the Factors of 25276?

Answer: Factors of 25276 are 1, 2, 4, 71, 89, 142, 178, 284, 356, 6319, 12638, 25276. There are 12 integers that are factors of 25276. The greatest factor of 25276 is 25276.

4. How to Find the GCF of 25268 and 25276?

Answer:

Greatest Common Factor of 25268 and 25276 = 4

Step 1: Find the prime factorization of 25268

25268 = 2 x 2 x 6317

Step 2: Find the prime factorization of 25276

25276 = 2 x 2 x 71 x 89

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 25268 and 25276 is 4