Greatest Common Factor of 36149 and 36153

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 36149, 36153 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36149 and 36153 is 1.

GCF(36149,36153) = 1

GCF of 36149 and 36153

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

GCF of:
and

Greatest Common Factor of 36149 and 36153

GCF of 36149 and 36153 is 1

Prime Factorization of 36149


37 36149
977 977
1

Prime factors of 36149 are 37,977. Prime factorization of 36149 in exponential form is:

36149 = 371×9771

Prime Factorization of 36153


3 36153
3 12051
3 4017
13 1339
103 103
1

Prime factors of 36153 are 3,13,103. Prime factorization of 36153 in exponential form is:

36153 = 33×131×1031

∴ So by taking common prime factors GCF of 36149 and 36153 is 1

Greatest Common Factor of 36149 and 36153 by matching factors method

Factors of 36149

List of positive integer factors of 36149 that divides 36149 without a remainder.

1,37,977,36149

Factors of 36153

List of positive integer factors of 36153 that divides 36153 without a remainder.

1,3,9,13,27,39,103,117,309,351,927,1339,2781,4017,12051,36153

Greatest Common Factor

We found the factors and prime factorization of 36149 and 36153. The biggest common factor number is the GCF number.
So the greatest common factor 36149 and 36153 is 1.

Also check out the Least Common Multiple of 36149 and 36153

Properties of GCF 36149 and 36153

(i) The GCF of 36149 and 36153 is associative

GCF of 36149 and 36153 = GCF of 36153 and 36149

Related Greatest Common Factor of 36149

Related Greatest Common Factor of 36153

Frequently Asked Questions on GCF of 36149 and 36153

1. What is the GCF of 36149 and 36153?

Answer: GCF of 36149 and 36153 is 1.

2. What are the Factors of 36149?

Answer: Factors of 36149 are 1, 37, 977, 36149. There are 4 integers that are factors of 36149. The greatest factor of 36149 is 36149.

3. What are the Factors of 36153?

Answer: Factors of 36153 are 1, 3, 9, 13, 27, 39, 103, 117, 309, 351, 927, 1339, 2781, 4017, 12051, 36153. There are 16 integers that are factors of 36153. The greatest factor of 36153 is 36153.

4. How to Find the GCF of 36149 and 36153?

Answer:

Greatest Common Factor of 36149 and 36153 = 1

Step 1: Find the prime factorization of 36149

36149 = 37 x 977

Step 2: Find the prime factorization of 36153

36153 = 3 x 3 x 3 x 13 x 103

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 36149 and 36153 is 1