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 9402, 9409 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9402 and 9409 is 1.
GCF(9402,9409) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9402
2 | 9402 |
3 | 4701 |
1567 | 1567 |
1 |
Prime factors of 9402 are 2,3,1567. Prime factorization of 9402 in exponential form is:
9402 = 21×31×15671
Prime Factorization of 9409
97 | 9409 |
97 | 97 |
1 |
Prime factors of 9409 are 97. Prime factorization of 9409 in exponential form is:
9409 = 972
∴ So by taking common prime factors GCF of 9402 and 9409 is 1
Factors of 9402
List of positive integer factors of 9402 that divides 9402 without a remainder.
1,2,3,6,1567,3134,4701,9402
Factors of 9409
List of positive integer factors of 9409 that divides 9409 without a remainder.
1,97,9409
Greatest Common Factor
We found the factors and prime factorization of 9402 and 9409. The biggest common factor number is the GCF number.
So the greatest common factor 9402 and 9409 is 1.
Also check out the Least Common Multiple of 9402 and 9409
(i) The GCF of 9402 and 9409 is associative
GCF of 9402 and 9409 = GCF of 9409 and 9402
1. What is the GCF of 9402 and 9409?
Answer: GCF of 9402 and 9409 is 1.
2. What are the Factors of 9402?
Answer: Factors of 9402 are 1, 2, 3, 6, 1567, 3134, 4701, 9402. There are 8 integers that are factors of 9402. The greatest factor of 9402 is 9402.
3. What are the Factors of 9409?
Answer: Factors of 9409 are 1, 97, 9409. There are 3 integers that are factors of 9409. The greatest factor of 9409 is 9409.
4. How to Find the GCF of 9402 and 9409?
Answer:
Greatest Common Factor of 9402 and 9409 = 1
Step 1: Find the prime factorization of 9402
9402 = 2 x 3 x 1567
Step 2: Find the prime factorization of 9409
9409 = 97 x 97
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 9402 and 9409 is 1