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 9538, 9541 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9538 and 9541 is 1.
GCF(9538,9541) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9538
2 | 9538 |
19 | 4769 |
251 | 251 |
1 |
Prime factors of 9538 are 2,19,251. Prime factorization of 9538 in exponential form is:
9538 = 21×191×2511
Prime Factorization of 9541
7 | 9541 |
29 | 1363 |
47 | 47 |
1 |
Prime factors of 9541 are 7,29,47. Prime factorization of 9541 in exponential form is:
9541 = 71×291×471
∴ So by taking common prime factors GCF of 9538 and 9541 is 1
Factors of 9538
List of positive integer factors of 9538 that divides 9538 without a remainder.
1,2,19,38,251,502,4769,9538
Factors of 9541
List of positive integer factors of 9541 that divides 9541 without a remainder.
1,7,29,47,203,329,1363,9541
Greatest Common Factor
We found the factors and prime factorization of 9538 and 9541. The biggest common factor number is the GCF number.
So the greatest common factor 9538 and 9541 is 1.
Also check out the Least Common Multiple of 9538 and 9541
(i) The GCF of 9538 and 9541 is associative
GCF of 9538 and 9541 = GCF of 9541 and 9538
1. What is the GCF of 9538 and 9541?
Answer: GCF of 9538 and 9541 is 1.
2. What are the Factors of 9538?
Answer: Factors of 9538 are 1, 2, 19, 38, 251, 502, 4769, 9538. There are 8 integers that are factors of 9538. The greatest factor of 9538 is 9538.
3. What are the Factors of 9541?
Answer: Factors of 9541 are 1, 7, 29, 47, 203, 329, 1363, 9541. There are 8 integers that are factors of 9541. The greatest factor of 9541 is 9541.
4. How to Find the GCF of 9538 and 9541?
Answer:
Greatest Common Factor of 9538 and 9541 = 1
Step 1: Find the prime factorization of 9538
9538 = 2 x 19 x 251
Step 2: Find the prime factorization of 9541
9541 = 7 x 29 x 47
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 9538 and 9541 is 1