# Greatest Common Factor of 40 and 47

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 40, 47 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 40 and 47 is 1.

GCF(40,47) = 1

## GCF of 40 and 47

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

GCF of:
and

### Greatest Common Factor of 40 and 47 by Prime factorization method

Prime Factorization of 40

 2 40 2 20 2 10 5 5 1

Prime factors of 40 are 2,5. Prime factorization of 40 in exponential form is:

40 = 23×51

Prime Factorization of 47

 47 47 1

Prime factors of 47 are 47. Prime factorization of 47 in exponential form is:

47 = 471

∴ So by taking common prime factors GCF of 40 and 47 is 1

### Greatest Common Factor of 40 and 47 by matching factors method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Greatest Common Factor

We found the factors and prime factorization of 40 and 47. The biggest common factor number is the GCF number.
So the greatest common factor 40 and 47 is 1.

Also check out the Least Common Multiple of 40 and 47

### Properties of GCF 40 and 47

(i) The GCF of 40 and 47 is associative

GCF of 40 and 47 = GCF of 47 and 40

### Frequently Asked Questions on GCF of 40 and 47

1. What is the GCF of 40 and 47?

Answer: GCF of 40 and 47 is 1.

2. What are the Factors of 40?

Answer: Factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40. There are 8 integers that are factors of 40. The greatest factor of 40 is 40.

3. What are the Factors of 47?

Answer: Factors of 47 are 1, 47. There are 2 integers that are factors of 47. The greatest factor of 47 is 47.

4. How to Find the GCF of 40 and 47?

Answer:

Greatest Common Factor of 40 and 47 = 1

Step 1: Find the prime factorization of 40

40 = 2 x 2 x 2 x 5

Step 2: Find the prime factorization of 47

47 = 47

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 40 and 47 is 1