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 47357, 47358 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 47357 and 47358 is 1.
GCF(47357,47358) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 47357
23 | 47357 |
29 | 2059 |
71 | 71 |
1 |
Prime factors of 47357 are 23,29,71. Prime factorization of 47357 in exponential form is:
47357 = 231×291×711
Prime Factorization of 47358
2 | 47358 |
3 | 23679 |
3 | 7893 |
3 | 2631 |
877 | 877 |
1 |
Prime factors of 47358 are 2,3,877. Prime factorization of 47358 in exponential form is:
47358 = 21×33×8771
∴ So by taking common prime factors GCF of 47357 and 47358 is 1
Factors of 47357
List of positive integer factors of 47357 that divides 47357 without a remainder.
1,23,29,71,667,1633,2059,47357
Factors of 47358
List of positive integer factors of 47358 that divides 47358 without a remainder.
1,2,3,6,9,18,27,54,877,1754,2631,5262,7893,15786,23679,47358
Greatest Common Factor
We found the factors and prime factorization of 47357 and 47358. The biggest common factor number is the GCF number.
So the greatest common factor 47357 and 47358 is 1.
Also check out the Least Common Multiple of 47357 and 47358
(i) The GCF of 47357 and 47358 is associative
GCF of 47357 and 47358 = GCF of 47358 and 47357
1. What is the GCF of 47357 and 47358?
Answer: GCF of 47357 and 47358 is 1.
2. What are the Factors of 47357?
Answer: Factors of 47357 are 1, 23, 29, 71, 667, 1633, 2059, 47357. There are 8 integers that are factors of 47357. The greatest factor of 47357 is 47357.
3. What are the Factors of 47358?
Answer: Factors of 47358 are 1, 2, 3, 6, 9, 18, 27, 54, 877, 1754, 2631, 5262, 7893, 15786, 23679, 47358. There are 16 integers that are factors of 47358. The greatest factor of 47358 is 47358.
4. How to Find the GCF of 47357 and 47358?
Answer:
Greatest Common Factor of 47357 and 47358 = 1
Step 1: Find the prime factorization of 47357
47357 = 23 x 29 x 71
Step 2: Find the prime factorization of 47358
47358 = 2 x 3 x 3 x 3 x 877
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 47357 and 47358 is 1