Greatest Common Factor of 26635 and 26640

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 26635, 26640 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 26635 and 26640 is 5.

GCF(26635,26640) = 5

GCF of 26635 and 26640

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

GCF of:
and

Greatest Common Factor of 26635 and 26640

GCF of 26635 and 26640 is 5

Prime Factorization of 26635


5 26635
7 5327
761 761
1

Prime factors of 26635 are 5,7,761. Prime factorization of 26635 in exponential form is:

26635 = 51×71×7611

Prime Factorization of 26640


2 26640
2 13320
2 6660
2 3330
3 1665
3 555
5 185
37 37
1

Prime factors of 26640 are 2,3,5,37. Prime factorization of 26640 in exponential form is:

26640 = 24×32×51×371

∴ So by taking common prime factors GCF of 26635 and 26640 is 5

Greatest Common Factor of 26635 and 26640 by matching factors method

Factors of 26635

List of positive integer factors of 26635 that divides 26635 without a remainder.

1,5,7,35,761,3805,5327,26635

Factors of 26640

List of positive integer factors of 26640 that divides 26640 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,37,40,45,48,60,72,74,80,90,111,120,144,148,180,185,222,240,296,333,360,370,444,555,592,666,720,740,888,1110,1332,1480,1665,1776,2220,2664,2960,3330,4440,5328,6660,8880,13320,26640

Greatest Common Factor

We found the factors and prime factorization of 26635 and 26640. The biggest common factor number is the GCF number.
So the greatest common factor 26635 and 26640 is 5.

Also check out the Least Common Multiple of 26635 and 26640

Properties of GCF 26635 and 26640

(i) The GCF of 26635 and 26640 is associative

GCF of 26635 and 26640 = GCF of 26640 and 26635

Related Greatest Common Factor of 26635

Related Greatest Common Factor of 26640

Frequently Asked Questions on GCF of 26635 and 26640

1. What is the GCF of 26635 and 26640?

Answer: GCF of 26635 and 26640 is 5.

2. What are the Factors of 26635?

Answer: Factors of 26635 are 1, 5, 7, 35, 761, 3805, 5327, 26635. There are 8 integers that are factors of 26635. The greatest factor of 26635 is 26635.

3. What are the Factors of 26640?

Answer: Factors of 26640 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 37, 40, 45, 48, 60, 72, 74, 80, 90, 111, 120, 144, 148, 180, 185, 222, 240, 296, 333, 360, 370, 444, 555, 592, 666, 720, 740, 888, 1110, 1332, 1480, 1665, 1776, 2220, 2664, 2960, 3330, 4440, 5328, 6660, 8880, 13320, 26640. There are 60 integers that are factors of 26640. The greatest factor of 26640 is 26640.

4. How to Find the GCF of 26635 and 26640?

Answer:

Greatest Common Factor of 26635 and 26640 = 5

Step 1: Find the prime factorization of 26635

26635 = 5 x 7 x 761

Step 2: Find the prime factorization of 26640

26640 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 37

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

GCF = 5

Step 4: Therefore, the greatest common factor of 26635 and 26640 is 5