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 5307, 5311 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5307 and 5311 is 1.
GCF(5307,5311) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5307
3 | 5307 |
29 | 1769 |
61 | 61 |
1 |
Prime factors of 5307 are 3,29,61. Prime factorization of 5307 in exponential form is:
5307 = 31×291×611
Prime Factorization of 5311
47 | 5311 |
113 | 113 |
1 |
Prime factors of 5311 are 47,113. Prime factorization of 5311 in exponential form is:
5311 = 471×1131
∴ So by taking common prime factors GCF of 5307 and 5311 is 1
Factors of 5307
List of positive integer factors of 5307 that divides 5307 without a remainder.
1,3,29,61,87,183,1769,5307
Factors of 5311
List of positive integer factors of 5311 that divides 5311 without a remainder.
1,47,113,5311
Greatest Common Factor
We found the factors and prime factorization of 5307 and 5311. The biggest common factor number is the GCF number.
So the greatest common factor 5307 and 5311 is 1.
Also check out the Least Common Multiple of 5307 and 5311
(i) The GCF of 5307 and 5311 is associative
GCF of 5307 and 5311 = GCF of 5311 and 5307
1. What is the GCF of 5307 and 5311?
Answer: GCF of 5307 and 5311 is 1.
2. What are the Factors of 5307?
Answer: Factors of 5307 are 1, 3, 29, 61, 87, 183, 1769, 5307. There are 8 integers that are factors of 5307. The greatest factor of 5307 is 5307.
3. What are the Factors of 5311?
Answer: Factors of 5311 are 1, 47, 113, 5311. There are 4 integers that are factors of 5311. The greatest factor of 5311 is 5311.
4. How to Find the GCF of 5307 and 5311?
Answer:
Greatest Common Factor of 5307 and 5311 = 1
Step 1: Find the prime factorization of 5307
5307 = 3 x 29 x 61
Step 2: Find the prime factorization of 5311
5311 = 47 x 113
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 5307 and 5311 is 1