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 5301, 5307 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5301 and 5307 is 3.
GCF(5301,5307) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5301
3 | 5301 |
3 | 1767 |
19 | 589 |
31 | 31 |
1 |
Prime factors of 5301 are 3,19,31. Prime factorization of 5301 in exponential form is:
5301 = 32×191×311
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
∴ So by taking common prime factors GCF of 5301 and 5307 is 3
Factors of 5301
List of positive integer factors of 5301 that divides 5301 without a remainder.
1,3,9,19,31,57,93,171,279,589,1767,5301
Factors of 5307
List of positive integer factors of 5307 that divides 5307 without a remainder.
1,3,29,61,87,183,1769,5307
Greatest Common Factor
We found the factors and prime factorization of 5301 and 5307. The biggest common factor number is the GCF number.
So the greatest common factor 5301 and 5307 is 3.
Also check out the Least Common Multiple of 5301 and 5307
(i) The GCF of 5301 and 5307 is associative
GCF of 5301 and 5307 = GCF of 5307 and 5301
1. What is the GCF of 5301 and 5307?
Answer: GCF of 5301 and 5307 is 3.
2. What are the Factors of 5301?
Answer: Factors of 5301 are 1, 3, 9, 19, 31, 57, 93, 171, 279, 589, 1767, 5301. There are 12 integers that are factors of 5301. The greatest factor of 5301 is 5301.
3. 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.
4. How to Find the GCF of 5301 and 5307?
Answer:
Greatest Common Factor of 5301 and 5307 = 3
Step 1: Find the prime factorization of 5301
5301 = 3 x 3 x 19 x 31
Step 2: Find the prime factorization of 5307
5307 = 3 x 29 x 61
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 5301 and 5307 is 3