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 83, 91 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 83 and 91 is 1.
GCF(83,91) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 83
83 | 83 |
1 |
Prime factors of 83 are 83. Prime factorization of 83 in exponential form is:
83 = 831
Prime Factorization of 91
7 | 91 |
13 | 13 |
1 |
Prime factors of 91 are 7.Prime factorization of 91 in exponential form is:
91 = 71×131
∴ So by taking common prime factors GCF of 83 and 91 is 1
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Greatest Common Factor
We found the factors and prime factorization of 83 and 91. The biggest common factor number is the GCF number.
So the greatest common factor 83 and 91 is 1.
Also check out the Least Common Multiple of 83 and 91
(i) The GCF of 83 and 91 is associative
GCF of 83 and 91 = GCF of 91 and 83
1. What is the GCF of 83 and 91?
Answer: GCF of 83 and 91 is 1.
2. What are the Factors of 83?
Answer: Factors of 83 are 1, 83. There are 2 integers that are factors of 83. The greatest factor of 83 is 83.
3. What are the Factors of 91?
Answer: Factors of 91 are 1, 7, 13, 91. There are 4 integers that are factors of 91. The greatest factor of 91 is 91.
4. How to Find the GCF of 83 and 91?
Answer:
Greatest Common Factor of 83 and 91 = 1
Step 1: Find the prime factorization of 83
83 = 83
Step 2: Find the prime factorization of 91
91 = 7 x 13
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 83 and 91 is 1