Greatest Common Factor of 25276 and 25280

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 25276, 25280 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 25276 and 25280 is 4.

GCF(25276,25280) = 4

GCF of 25276 and 25280

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

GCF of:
and

Greatest Common Factor of 25276 and 25280

GCF of 25276 and 25280 is 4

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

Prime Factorization of 25280


2 25280
2 12640
2 6320
2 3160
2 1580
2 790
5 395
79 79
1

Prime factors of 25280 are 2,5,79. Prime factorization of 25280 in exponential form is:

25280 = 26×51×791

∴ So by taking common prime factors GCF of 25276 and 25280 is 4

Greatest Common Factor of 25276 and 25280 by matching factors method

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

Factors of 25280

List of positive integer factors of 25280 that divides 25280 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,79,80,158,160,316,320,395,632,790,1264,1580,2528,3160,5056,6320,12640,25280

Greatest Common Factor

We found the factors and prime factorization of 25276 and 25280. The biggest common factor number is the GCF number.
So the greatest common factor 25276 and 25280 is 4.

Also check out the Least Common Multiple of 25276 and 25280

Properties of GCF 25276 and 25280

(i) The GCF of 25276 and 25280 is associative

GCF of 25276 and 25280 = GCF of 25280 and 25276

Related Greatest Common Factor of 25276

Related Greatest Common Factor of 25280

Frequently Asked Questions on GCF of 25276 and 25280

1. What is the GCF of 25276 and 25280?

Answer: GCF of 25276 and 25280 is 4.

2. 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.

3. What are the Factors of 25280?

Answer: Factors of 25280 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 79, 80, 158, 160, 316, 320, 395, 632, 790, 1264, 1580, 2528, 3160, 5056, 6320, 12640, 25280. There are 28 integers that are factors of 25280. The greatest factor of 25280 is 25280.

4. How to Find the GCF of 25276 and 25280?

Answer:

Greatest Common Factor of 25276 and 25280 = 4

Step 1: Find the prime factorization of 25276

25276 = 2 x 2 x 71 x 89

Step 2: Find the prime factorization of 25280

25280 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 79

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 25276 and 25280 is 4