Greatest Common Factor of 36021 and 36024

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 36021, 36024 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36021 and 36024 is 3.

GCF(36021,36024) = 3

GCF of 36021 and 36024

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

GCF of:
and

Greatest Common Factor of 36021 and 36024

GCF of 36021 and 36024 is 3

Prime Factorization of 36021


3 36021
12007 12007
1

Prime factors of 36021 are 3,12007. Prime factorization of 36021 in exponential form is:

36021 = 31×120071

Prime Factorization of 36024


2 36024
2 18012
2 9006
3 4503
19 1501
79 79
1

Prime factors of 36024 are 2,3,19,79. Prime factorization of 36024 in exponential form is:

36024 = 23×31×191×791

∴ So by taking common prime factors GCF of 36021 and 36024 is 3

Greatest Common Factor of 36021 and 36024 by matching factors method

Factors of 36021

List of positive integer factors of 36021 that divides 36021 without a remainder.

1,3,12007,36021

Factors of 36024

List of positive integer factors of 36024 that divides 36024 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,79,114,152,158,228,237,316,456,474,632,948,1501,1896,3002,4503,6004,9006,12008,18012,36024

Greatest Common Factor

We found the factors and prime factorization of 36021 and 36024. The biggest common factor number is the GCF number.
So the greatest common factor 36021 and 36024 is 3.

Also check out the Least Common Multiple of 36021 and 36024

Properties of GCF 36021 and 36024

(i) The GCF of 36021 and 36024 is associative

GCF of 36021 and 36024 = GCF of 36024 and 36021

Related Greatest Common Factor of 36021

Related Greatest Common Factor of 36024

Frequently Asked Questions on GCF of 36021 and 36024

1. What is the GCF of 36021 and 36024?

Answer: GCF of 36021 and 36024 is 3.

2. What are the Factors of 36021?

Answer: Factors of 36021 are 1, 3, 12007, 36021. There are 4 integers that are factors of 36021. The greatest factor of 36021 is 36021.

3. What are the Factors of 36024?

Answer: Factors of 36024 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 79, 114, 152, 158, 228, 237, 316, 456, 474, 632, 948, 1501, 1896, 3002, 4503, 6004, 9006, 12008, 18012, 36024. There are 32 integers that are factors of 36024. The greatest factor of 36024 is 36024.

4. How to Find the GCF of 36021 and 36024?

Answer:

Greatest Common Factor of 36021 and 36024 = 3

Step 1: Find the prime factorization of 36021

36021 = 3 x 12007

Step 2: Find the prime factorization of 36024

36024 = 2 x 2 x 2 x 3 x 19 x 79

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

GCF = 3

Step 4: Therefore, the greatest common factor of 36021 and 36024 is 3