Greatest Common Factor of 36146 and 36148

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 36146, 36148 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36146 and 36148 is 2.

GCF(36146,36148) = 2

GCF of 36146 and 36148

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

GCF of:
and

Greatest Common Factor of 36146 and 36148

GCF of 36146 and 36148 is 2

Prime Factorization of 36146


2 36146
11 18073
31 1643
53 53
1

Prime factors of 36146 are 2,11,31,53. Prime factorization of 36146 in exponential form is:

36146 = 21×111×311×531

Prime Factorization of 36148


2 36148
2 18074
7 9037
1291 1291
1

Prime factors of 36148 are 2,7,1291. Prime factorization of 36148 in exponential form is:

36148 = 22×71×12911

∴ So by taking common prime factors GCF of 36146 and 36148 is 2

Greatest Common Factor of 36146 and 36148 by matching factors method

Factors of 36146

List of positive integer factors of 36146 that divides 36146 without a remainder.

1,2,11,22,31,53,62,106,341,583,682,1166,1643,3286,18073,36146

Factors of 36148

List of positive integer factors of 36148 that divides 36148 without a remainder.

1,2,4,7,14,28,1291,2582,5164,9037,18074,36148

Greatest Common Factor

We found the factors and prime factorization of 36146 and 36148. The biggest common factor number is the GCF number.
So the greatest common factor 36146 and 36148 is 2.

Also check out the Least Common Multiple of 36146 and 36148

Properties of GCF 36146 and 36148

(i) The GCF of 36146 and 36148 is associative

GCF of 36146 and 36148 = GCF of 36148 and 36146

Related Greatest Common Factor of 36146

Related Greatest Common Factor of 36148

Frequently Asked Questions on GCF of 36146 and 36148

1. What is the GCF of 36146 and 36148?

Answer: GCF of 36146 and 36148 is 2.

2. What are the Factors of 36146?

Answer: Factors of 36146 are 1, 2, 11, 22, 31, 53, 62, 106, 341, 583, 682, 1166, 1643, 3286, 18073, 36146. There are 16 integers that are factors of 36146. The greatest factor of 36146 is 36146.

3. What are the Factors of 36148?

Answer: Factors of 36148 are 1, 2, 4, 7, 14, 28, 1291, 2582, 5164, 9037, 18074, 36148. There are 12 integers that are factors of 36148. The greatest factor of 36148 is 36148.

4. How to Find the GCF of 36146 and 36148?

Answer:

Greatest Common Factor of 36146 and 36148 = 2

Step 1: Find the prime factorization of 36146

36146 = 2 x 11 x 31 x 53

Step 2: Find the prime factorization of 36148

36148 = 2 x 2 x 7 x 1291

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

GCF = 2

Step 4: Therefore, the greatest common factor of 36146 and 36148 is 2