Greatest Common Factor of 36088 and 36092

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 36088, 36092 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36088 and 36092 is 4.

GCF(36088,36092) = 4

GCF of 36088 and 36092

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

GCF of:
and

Greatest Common Factor of 36088 and 36092

GCF of 36088 and 36092 is 4

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

Prime Factorization of 36092


2 36092
2 18046
7 9023
1289 1289
1

Prime factors of 36092 are 2,7,1289. Prime factorization of 36092 in exponential form is:

36092 = 22×71×12891

∴ So by taking common prime factors GCF of 36088 and 36092 is 4

Greatest Common Factor of 36088 and 36092 by matching factors method

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

Factors of 36092

List of positive integer factors of 36092 that divides 36092 without a remainder.

1,2,4,7,14,28,1289,2578,5156,9023,18046,36092

Greatest Common Factor

We found the factors and prime factorization of 36088 and 36092. The biggest common factor number is the GCF number.
So the greatest common factor 36088 and 36092 is 4.

Also check out the Least Common Multiple of 36088 and 36092

Properties of GCF 36088 and 36092

(i) The GCF of 36088 and 36092 is associative

GCF of 36088 and 36092 = GCF of 36092 and 36088

Related Greatest Common Factor of 36088

Related Greatest Common Factor of 36092

Frequently Asked Questions on GCF of 36088 and 36092

1. What is the GCF of 36088 and 36092?

Answer: GCF of 36088 and 36092 is 4.

2. 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.

3. What are the Factors of 36092?

Answer: Factors of 36092 are 1, 2, 4, 7, 14, 28, 1289, 2578, 5156, 9023, 18046, 36092. There are 12 integers that are factors of 36092. The greatest factor of 36092 is 36092.

4. How to Find the GCF of 36088 and 36092?

Answer:

Greatest Common Factor of 36088 and 36092 = 4

Step 1: Find the prime factorization of 36088

36088 = 2 x 2 x 2 x 13 x 347

Step 2: Find the prime factorization of 36092

36092 = 2 x 2 x 7 x 1289

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 36088 and 36092 is 4