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 46, 47 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 46 and 47 is 1.
GCF(46,47) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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 46 and 47 is 1
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
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 46 and 47. The biggest common factor number is the GCF number.
So the greatest common factor 46 and 47 is 1.
Also check out the Least Common Multiple of 46 and 47
(i) The GCF of 46 and 47 is associative
GCF of 46 and 47 = GCF of 47 and 46
1. What is the GCF of 46 and 47?
Answer: GCF of 46 and 47 is 1.
2. 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.
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 46 and 47?
Answer:
Greatest Common Factor of 46 and 47 = 1
Step 1: Find the prime factorization of 46
46 = 2 x 23
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 46 and 47 is 1