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, 5312 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5307 and 5312 is 1.
GCF(5307,5312) = 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 5312
2 | 5312 |
2 | 2656 |
2 | 1328 |
2 | 664 |
2 | 332 |
2 | 166 |
83 | 83 |
1 |
Prime factors of 5312 are 2,83. Prime factorization of 5312 in exponential form is:
5312 = 26×831
∴ So by taking common prime factors GCF of 5307 and 5312 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 5312
List of positive integer factors of 5312 that divides 5312 without a remainder.
1,2,4,8,16,32,64,83,166,332,664,1328,2656,5312
Greatest Common Factor
We found the factors and prime factorization of 5307 and 5312. The biggest common factor number is the GCF number.
So the greatest common factor 5307 and 5312 is 1.
Also check out the Least Common Multiple of 5307 and 5312
(i) The GCF of 5307 and 5312 is associative
GCF of 5307 and 5312 = GCF of 5312 and 5307
1. What is the GCF of 5307 and 5312?
Answer: GCF of 5307 and 5312 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 5312?
Answer: Factors of 5312 are 1, 2, 4, 8, 16, 32, 64, 83, 166, 332, 664, 1328, 2656, 5312. There are 14 integers that are factors of 5312. The greatest factor of 5312 is 5312.
4. How to Find the GCF of 5307 and 5312?
Answer:
Greatest Common Factor of 5307 and 5312 = 1
Step 1: Find the prime factorization of 5307
5307 = 3 x 29 x 61
Step 2: Find the prime factorization of 5312
5312 = 2 x 2 x 2 x 2 x 2 x 2 x 83
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 5312 is 1