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 9436, 9442 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9436 and 9442 is 2.
GCF(9436,9442) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9436
2 | 9436 |
2 | 4718 |
7 | 2359 |
337 | 337 |
1 |
Prime factors of 9436 are 2,7,337. Prime factorization of 9436 in exponential form is:
9436 = 22×71×3371
Prime Factorization of 9442
2 | 9442 |
4721 | 4721 |
1 |
Prime factors of 9442 are 2,4721. Prime factorization of 9442 in exponential form is:
9442 = 21×47211
∴ So by taking common prime factors GCF of 9436 and 9442 is 2
Factors of 9436
List of positive integer factors of 9436 that divides 9436 without a remainder.
1,2,4,7,14,28,337,674,1348,2359,4718,9436
Factors of 9442
List of positive integer factors of 9442 that divides 9442 without a remainder.
1,2,4721,9442
Greatest Common Factor
We found the factors and prime factorization of 9436 and 9442. The biggest common factor number is the GCF number.
So the greatest common factor 9436 and 9442 is 2.
Also check out the Least Common Multiple of 9436 and 9442
(i) The GCF of 9436 and 9442 is associative
GCF of 9436 and 9442 = GCF of 9442 and 9436
1. What is the GCF of 9436 and 9442?
Answer: GCF of 9436 and 9442 is 2.
2. What are the Factors of 9436?
Answer: Factors of 9436 are 1, 2, 4, 7, 14, 28, 337, 674, 1348, 2359, 4718, 9436. There are 12 integers that are factors of 9436. The greatest factor of 9436 is 9436.
3. What are the Factors of 9442?
Answer: Factors of 9442 are 1, 2, 4721, 9442. There are 4 integers that are factors of 9442. The greatest factor of 9442 is 9442.
4. How to Find the GCF of 9436 and 9442?
Answer:
Greatest Common Factor of 9436 and 9442 = 2
Step 1: Find the prime factorization of 9436
9436 = 2 x 2 x 7 x 337
Step 2: Find the prime factorization of 9442
9442 = 2 x 4721
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 9436 and 9442 is 2