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 40, 46 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 40 and 46 is 2.
GCF(40,46) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 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 40 and 46 is 2
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 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 40 and 46. The biggest common factor number is the GCF number.
So the greatest common factor 40 and 46 is 2.
Also check out the Least Common Multiple of 40 and 46
(i) The GCF of 40 and 46 is associative
GCF of 40 and 46 = GCF of 46 and 40
1. What is the GCF of 40 and 46?
Answer: GCF of 40 and 46 is 2.
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 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 40 and 46?
Answer:
Greatest Common Factor of 40 and 46 = 2
Step 1: Find the prime factorization of 40
40 = 2 x 2 x 2 x 5
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 40 and 46 is 2