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 47, 55 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 47 and 55 is 1.
GCF(47,55) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 47
47 | 47 |
1 |
Prime factors of 47 are 47. Prime factorization of 47 in exponential form is:
47 = 471
Prime Factorization of 55
5 | 55 |
11 | 11 |
1 |
Prime factors of 55 are 5.Prime factorization of 55 in exponential form is:
55 = 51×111
∴ So by taking common prime factors GCF of 47 and 55 is 1
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Greatest Common Factor
We found the factors and prime factorization of 47 and 55. The biggest common factor number is the GCF number.
So the greatest common factor 47 and 55 is 1.
Also check out the Least Common Multiple of 47 and 55
(i) The GCF of 47 and 55 is associative
GCF of 47 and 55 = GCF of 55 and 47
1. What is the GCF of 47 and 55?
Answer: GCF of 47 and 55 is 1.
2. 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.
3. What are the Factors of 55?
Answer: Factors of 55 are 1, 5, 11, 55. There are 4 integers that are factors of 55. The greatest factor of 55 is 55.
4. How to Find the GCF of 47 and 55?
Answer:
Greatest Common Factor of 47 and 55 = 1
Step 1: Find the prime factorization of 47
47 = 47
Step 2: Find the prime factorization of 55
55 = 5 x 11
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 47 and 55 is 1