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 54, 71 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 54 and 71 is 1.
GCF(54,71) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 54
2 | 54 |
3 | 27 |
3 | 9 |
3 | 3 |
1 |
Prime factors of 54 are 2,3. Prime factorization of 54 in exponential form is:
54 = 21×33
Prime Factorization of 71
71 | 71 |
1 |
Prime factors of 71 are 71. Prime factorization of 71 in exponential form is:
71 = 711
∴ So by taking common prime factors GCF of 54 and 71 is 1
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Greatest Common Factor
We found the factors and prime factorization of 54 and 71. The biggest common factor number is the GCF number.
So the greatest common factor 54 and 71 is 1.
Also check out the Least Common Multiple of 54 and 71
(i) The GCF of 54 and 71 is associative
GCF of 54 and 71 = GCF of 71 and 54
1. What is the GCF of 54 and 71?
Answer: GCF of 54 and 71 is 1.
2. What are the Factors of 54?
Answer: Factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54. There are 8 integers that are factors of 54. The greatest factor of 54 is 54.
3. What are the Factors of 71?
Answer: Factors of 71 are 1, 71. There are 2 integers that are factors of 71. The greatest factor of 71 is 71.
4. How to Find the GCF of 54 and 71?
Answer:
Greatest Common Factor of 54 and 71 = 1
Step 1: Find the prime factorization of 54
54 = 2 x 3 x 3 x 3
Step 2: Find the prime factorization of 71
71 = 71
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 54 and 71 is 1