Greatest Common Factor of 45 and 61

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 45, 61 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 45 and 61 is 1.

GCF(45,61) = 1

GCF of 45 and 61

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

GCF of:
and

Greatest Common Factor of 45 and 61

GCF of 45 and 61 is 1

Prime Factorization of 45


3 45
3 15
5 5
1

Prime factors of 45 are 3,5. Prime factorization of 45 in exponential form is:

45 = 32×51

Prime Factorization of 61


61 61
1

Prime factors of 61 are 61. Prime factorization of 61 in exponential form is:

61 = 611

∴ So by taking common prime factors GCF of 45 and 61 is 1

Greatest Common Factor of 45 and 61 by matching factors method

Factors of 45

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

1,3,5,9,15,45

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Greatest Common Factor

We found the factors and prime factorization of 45 and 61. The biggest common factor number is the GCF number.
So the greatest common factor 45 and 61 is 1.

Also check out the Least Common Multiple of 45 and 61

Properties of GCF 45 and 61

(i) The GCF of 45 and 61 is associative

GCF of 45 and 61 = GCF of 61 and 45

Frequently Asked Questions on GCF of 45 and 61

1. What is the GCF of 45 and 61?

Answer: GCF of 45 and 61 is 1.

2. 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.

3. What are the Factors of 61?

Answer: Factors of 61 are 1, 61. There are 2 integers that are factors of 61. The greatest factor of 61 is 61.

4. How to Find the GCF of 45 and 61?

Answer:

Greatest Common Factor of 45 and 61 = 1

Step 1: Find the prime factorization of 45

45 = 3 x 3 x 5

Step 2: Find the prime factorization of 61

61 = 61

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 45 and 61 is 1