Greatest Common Factor of 36144 and 36152

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 36144, 36152 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36144 and 36152 is 8.

GCF(36144,36152) = 8

GCF of 36144 and 36152

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

GCF of:
and

Greatest Common Factor of 36144 and 36152

GCF of 36144 and 36152 is 8

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

Prime Factorization of 36152


2 36152
2 18076
2 9038
4519 4519
1

Prime factors of 36152 are 2,4519. Prime factorization of 36152 in exponential form is:

36152 = 23×45191

∴ So by taking common prime factors GCF of 36144 and 36152 is 8

Greatest Common Factor of 36144 and 36152 by matching factors method

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

Factors of 36152

List of positive integer factors of 36152 that divides 36152 without a remainder.

1,2,4,8,4519,9038,18076,36152

Greatest Common Factor

We found the factors and prime factorization of 36144 and 36152. The biggest common factor number is the GCF number.
So the greatest common factor 36144 and 36152 is 8.

Also check out the Least Common Multiple of 36144 and 36152

Properties of GCF 36144 and 36152

(i) The GCF of 36144 and 36152 is associative

GCF of 36144 and 36152 = GCF of 36152 and 36144

Related Greatest Common Factor of 36144

Related Greatest Common Factor of 36152

Frequently Asked Questions on GCF of 36144 and 36152

1. What is the GCF of 36144 and 36152?

Answer: GCF of 36144 and 36152 is 8.

2. 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.

3. What are the Factors of 36152?

Answer: Factors of 36152 are 1, 2, 4, 8, 4519, 9038, 18076, 36152. There are 8 integers that are factors of 36152. The greatest factor of 36152 is 36152.

4. How to Find the GCF of 36144 and 36152?

Answer:

Greatest Common Factor of 36144 and 36152 = 8

Step 1: Find the prime factorization of 36144

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

Step 2: Find the prime factorization of 36152

36152 = 2 x 2 x 2 x 4519

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 36144 and 36152 is 8