Greatest Common Factor of 41 and 45

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 41, 45 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 41 and 45 is 1.

GCF(41,45) = 1

GCF of 41 and 45

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

GCF of:
and

Greatest Common Factor of 41 and 45

GCF of 41 and 45 is 1

Prime Factorization of 41


41 41
1

Prime factors of 41 are 41. Prime factorization of 41 in exponential form is:

41 = 411

Prime Factorization of 45


3 45
3 15
5 5
1

Prime factors of 45 are 3.Prime factorization of 45 in exponential form is:

45 = 32×51

∴ So by taking common prime factors GCF of 41 and 45 is 1

Greatest Common Factor of 41 and 45 by matching factors method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Greatest Common Factor

We found the factors and prime factorization of 41 and 45. The biggest common factor number is the GCF number.
So the greatest common factor 41 and 45 is 1.

Also check out the Least Common Multiple of 41 and 45

Properties of GCF 41 and 45

(i) The GCF of 41 and 45 is associative

GCF of 41 and 45 = GCF of 45 and 41

Related Greatest Common Factor of 41

Related Greatest Common Factor of 45

Frequently Asked Questions on GCF of 41 and 45

1. What is the GCF of 41 and 45?

Answer: GCF of 41 and 45 is 1.

2. What are the Factors of 41?

Answer: Factors of 41 are 1, 41. There are 2 integers that are factors of 41. The greatest factor of 41 is 41.

3. What are the Factors of 45?

Answer: Factors of 45 are 1, 3, 5, 9, 15, 45. There are 6 integers that are factors of 45. The greatest factor of 45 is 45.

4. How to Find the GCF of 41 and 45?

Answer:

Greatest Common Factor of 41 and 45 = 1

Step 1: Find the prime factorization of 41

41 = 41

Step 2: Find the prime factorization of 45

45 = 3 x 3 x 5

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 41 and 45 is 1