Greatest Common Factor of 36136 and 36144

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 36136, 36144 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36136 and 36144 is 8.

GCF(36136,36144) = 8

GCF of 36136 and 36144

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

GCF of:
and

Greatest Common Factor of 36136 and 36144

GCF of 36136 and 36144 is 8

Prime Factorization of 36136


2 36136
2 18068
2 9034
4517 4517
1

Prime factors of 36136 are 2,4517. Prime factorization of 36136 in exponential form is:

36136 = 23×45171

Prime Factorization of 36144


2 36144
2 18072
2 9036
2 4518
3 2259
3 753
251 251
1

Prime factors of 36144 are 2,3,251. Prime factorization of 36144 in exponential form is:

36144 = 24×32×2511

∴ So by taking common prime factors GCF of 36136 and 36144 is 8

Greatest Common Factor of 36136 and 36144 by matching factors method

Factors of 36136

List of positive integer factors of 36136 that divides 36136 without a remainder.

1,2,4,8,4517,9034,18068,36136

Factors of 36144

List of positive integer factors of 36144 that divides 36144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144,251,502,753,1004,1506,2008,2259,3012,4016,4518,6024,9036,12048,18072,36144

Greatest Common Factor

We found the factors and prime factorization of 36136 and 36144. The biggest common factor number is the GCF number.
So the greatest common factor 36136 and 36144 is 8.

Also check out the Least Common Multiple of 36136 and 36144

Properties of GCF 36136 and 36144

(i) The GCF of 36136 and 36144 is associative

GCF of 36136 and 36144 = GCF of 36144 and 36136

Related Greatest Common Factor of 36136

Related Greatest Common Factor of 36144

Frequently Asked Questions on GCF of 36136 and 36144

1. What is the GCF of 36136 and 36144?

Answer: GCF of 36136 and 36144 is 8.

2. What are the Factors of 36136?

Answer: Factors of 36136 are 1, 2, 4, 8, 4517, 9034, 18068, 36136. There are 8 integers that are factors of 36136. The greatest factor of 36136 is 36136.

3. What are the Factors of 36144?

Answer: Factors of 36144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 251, 502, 753, 1004, 1506, 2008, 2259, 3012, 4016, 4518, 6024, 9036, 12048, 18072, 36144. There are 30 integers that are factors of 36144. The greatest factor of 36144 is 36144.

4. How to Find the GCF of 36136 and 36144?

Answer:

Greatest Common Factor of 36136 and 36144 = 8

Step 1: Find the prime factorization of 36136

36136 = 2 x 2 x 2 x 4517

Step 2: Find the prime factorization of 36144

36144 = 2 x 2 x 2 x 2 x 3 x 3 x 251

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 36136 and 36144 is 8