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, 49 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 40 and 49 is 1.
GCF(40,49) = 1
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 49
7 | 49 |
7 | 7 |
1 |
Prime factors of 49 are 7. Prime factorization of 49 in exponential form is:
49 = 72
∴ So by taking common prime factors GCF of 40 and 49 is 1
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 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Greatest Common Factor
We found the factors and prime factorization of 40 and 49. The biggest common factor number is the GCF number.
So the greatest common factor 40 and 49 is 1.
Also check out the Least Common Multiple of 40 and 49
(i) The GCF of 40 and 49 is associative
GCF of 40 and 49 = GCF of 49 and 40
1. What is the GCF of 40 and 49?
Answer: GCF of 40 and 49 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 49?
Answer: Factors of 49 are 1, 7, 49. There are 3 integers that are factors of 49. The greatest factor of 49 is 49.
4. How to Find the GCF of 40 and 49?
Answer:
Greatest Common Factor of 40 and 49 = 1
Step 1: Find the prime factorization of 40
40 = 2 x 2 x 2 x 5
Step 2: Find the prime factorization of 49
49 = 7 x 7
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 49 is 1