Greatest Common Factor of 36 and 46

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 36, 46 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36 and 46 is 2.

GCF(36,46) = 2

GCF of 36 and 46

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

GCF of:
and

Greatest Common Factor of 36 and 46

GCF of 36 and 46 is 2

Prime Factorization of 36


2 36
2 18
3 9
3 3
1

Prime factors of 36 are 2,3. Prime factorization of 36 in exponential form is:

36 = 22×32

Prime Factorization of 46


2 46
23 23
1

Prime factors of 46 are 2,23. Prime factorization of 46 in exponential form is:

46 = 21×231

∴ So by taking common prime factors GCF of 36 and 46 is 2

Greatest Common Factor of 36 and 46 by matching factors method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Greatest Common Factor

We found the factors and prime factorization of 36 and 46. The biggest common factor number is the GCF number.
So the greatest common factor 36 and 46 is 2.

Also check out the Least Common Multiple of 36 and 46

Properties of GCF 36 and 46

(i) The GCF of 36 and 46 is associative

GCF of 36 and 46 = GCF of 46 and 36

Related Greatest Common Factor of 36

Related Greatest Common Factor of 46

Frequently Asked Questions on GCF of 36 and 46

1. What is the GCF of 36 and 46?

Answer: GCF of 36 and 46 is 2.

2. What are the Factors of 36?

Answer: Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36. There are 9 integers that are factors of 36. The greatest factor of 36 is 36.

3. What are the Factors of 46?

Answer: Factors of 46 are 1, 2, 23, 46. There are 4 integers that are factors of 46. The greatest factor of 46 is 46.

4. How to Find the GCF of 36 and 46?

Answer:

Greatest Common Factor of 36 and 46 = 2

Step 1: Find the prime factorization of 36

36 = 2 x 2 x 3 x 3

Step 2: Find the prime factorization of 46

46 = 2 x 23

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 36 and 46 is 2