Greatest Common Factor of 25263 and 25270

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 25263, 25270 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 25263 and 25270 is 7.

GCF(25263,25270) = 7

GCF of 25263 and 25270

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

GCF of:
and

Greatest Common Factor of 25263 and 25270

GCF of 25263 and 25270 is 7

Prime Factorization of 25263


3 25263
3 8421
7 2807
401 401
1

Prime factors of 25263 are 3,7,401. Prime factorization of 25263 in exponential form is:

25263 = 32×71×4011

Prime Factorization of 25270


2 25270
5 12635
7 2527
19 361
19 19
1

Prime factors of 25270 are 2,5,7,19. Prime factorization of 25270 in exponential form is:

25270 = 21×51×71×192

∴ So by taking common prime factors GCF of 25263 and 25270 is 7

Greatest Common Factor of 25263 and 25270 by matching factors method

Factors of 25263

List of positive integer factors of 25263 that divides 25263 without a remainder.

1,3,7,9,21,63,401,1203,2807,3609,8421,25263

Factors of 25270

List of positive integer factors of 25270 that divides 25270 without a remainder.

1,2,5,7,10,14,19,35,38,70,95,133,190,266,361,665,722,1330,1805,2527,3610,5054,12635,25270

Greatest Common Factor

We found the factors and prime factorization of 25263 and 25270. The biggest common factor number is the GCF number.
So the greatest common factor 25263 and 25270 is 7.

Also check out the Least Common Multiple of 25263 and 25270

Properties of GCF 25263 and 25270

(i) The GCF of 25263 and 25270 is associative

GCF of 25263 and 25270 = GCF of 25270 and 25263

Related Greatest Common Factor of 25263

Related Greatest Common Factor of 25270

Frequently Asked Questions on GCF of 25263 and 25270

1. What is the GCF of 25263 and 25270?

Answer: GCF of 25263 and 25270 is 7.

2. What are the Factors of 25263?

Answer: Factors of 25263 are 1, 3, 7, 9, 21, 63, 401, 1203, 2807, 3609, 8421, 25263. There are 12 integers that are factors of 25263. The greatest factor of 25263 is 25263.

3. What are the Factors of 25270?

Answer: Factors of 25270 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 361, 665, 722, 1330, 1805, 2527, 3610, 5054, 12635, 25270. There are 24 integers that are factors of 25270. The greatest factor of 25270 is 25270.

4. How to Find the GCF of 25263 and 25270?

Answer:

Greatest Common Factor of 25263 and 25270 = 7

Step 1: Find the prime factorization of 25263

25263 = 3 x 3 x 7 x 401

Step 2: Find the prime factorization of 25270

25270 = 2 x 5 x 7 x 19 x 19

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

GCF = 7

Step 4: Therefore, the greatest common factor of 25263 and 25270 is 7