Greatest Common Factor of 36080 and 36088

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 36080, 36088 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36080 and 36088 is 8.

GCF(36080,36088) = 8

GCF of 36080 and 36088

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

GCF of:
and

Greatest Common Factor of 36080 and 36088

GCF of 36080 and 36088 is 8

Prime Factorization of 36080


2 36080
2 18040
2 9020
2 4510
5 2255
11 451
41 41
1

Prime factors of 36080 are 2,5,11,41. Prime factorization of 36080 in exponential form is:

36080 = 24×51×111×411

Prime Factorization of 36088


2 36088
2 18044
2 9022
13 4511
347 347
1

Prime factors of 36088 are 2,13,347. Prime factorization of 36088 in exponential form is:

36088 = 23×131×3471

∴ So by taking common prime factors GCF of 36080 and 36088 is 8

Greatest Common Factor of 36080 and 36088 by matching factors method

Factors of 36080

List of positive integer factors of 36080 that divides 36080 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,41,44,55,80,82,88,110,164,176,205,220,328,410,440,451,656,820,880,902,1640,1804,2255,3280,3608,4510,7216,9020,18040,36080

Factors of 36088

List of positive integer factors of 36088 that divides 36088 without a remainder.

1,2,4,8,13,26,52,104,347,694,1388,2776,4511,9022,18044,36088

Greatest Common Factor

We found the factors and prime factorization of 36080 and 36088. The biggest common factor number is the GCF number.
So the greatest common factor 36080 and 36088 is 8.

Also check out the Least Common Multiple of 36080 and 36088

Properties of GCF 36080 and 36088

(i) The GCF of 36080 and 36088 is associative

GCF of 36080 and 36088 = GCF of 36088 and 36080

Related Greatest Common Factor of 36080

Related Greatest Common Factor of 36088

Frequently Asked Questions on GCF of 36080 and 36088

1. What is the GCF of 36080 and 36088?

Answer: GCF of 36080 and 36088 is 8.

2. What are the Factors of 36080?

Answer: Factors of 36080 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 41, 44, 55, 80, 82, 88, 110, 164, 176, 205, 220, 328, 410, 440, 451, 656, 820, 880, 902, 1640, 1804, 2255, 3280, 3608, 4510, 7216, 9020, 18040, 36080. There are 40 integers that are factors of 36080. The greatest factor of 36080 is 36080.

3. What are the Factors of 36088?

Answer: Factors of 36088 are 1, 2, 4, 8, 13, 26, 52, 104, 347, 694, 1388, 2776, 4511, 9022, 18044, 36088. There are 16 integers that are factors of 36088. The greatest factor of 36088 is 36088.

4. How to Find the GCF of 36080 and 36088?

Answer:

Greatest Common Factor of 36080 and 36088 = 8

Step 1: Find the prime factorization of 36080

36080 = 2 x 2 x 2 x 2 x 5 x 11 x 41

Step 2: Find the prime factorization of 36088

36088 = 2 x 2 x 2 x 13 x 347

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 36080 and 36088 is 8