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 9448, 9454 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9448 and 9454 is 2.
GCF(9448,9454) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9448
2 | 9448 |
2 | 4724 |
2 | 2362 |
1181 | 1181 |
1 |
Prime factors of 9448 are 2,1181. Prime factorization of 9448 in exponential form is:
9448 = 23×11811
Prime Factorization of 9454
2 | 9454 |
29 | 4727 |
163 | 163 |
1 |
Prime factors of 9454 are 2,29,163. Prime factorization of 9454 in exponential form is:
9454 = 21×291×1631
∴ So by taking common prime factors GCF of 9448 and 9454 is 2
Factors of 9448
List of positive integer factors of 9448 that divides 9448 without a remainder.
1,2,4,8,1181,2362,4724,9448
Factors of 9454
List of positive integer factors of 9454 that divides 9454 without a remainder.
1,2,29,58,163,326,4727,9454
Greatest Common Factor
We found the factors and prime factorization of 9448 and 9454. The biggest common factor number is the GCF number.
So the greatest common factor 9448 and 9454 is 2.
Also check out the Least Common Multiple of 9448 and 9454
(i) The GCF of 9448 and 9454 is associative
GCF of 9448 and 9454 = GCF of 9454 and 9448
1. What is the GCF of 9448 and 9454?
Answer: GCF of 9448 and 9454 is 2.
2. What are the Factors of 9448?
Answer: Factors of 9448 are 1, 2, 4, 8, 1181, 2362, 4724, 9448. There are 8 integers that are factors of 9448. The greatest factor of 9448 is 9448.
3. What are the Factors of 9454?
Answer: Factors of 9454 are 1, 2, 29, 58, 163, 326, 4727, 9454. There are 8 integers that are factors of 9454. The greatest factor of 9454 is 9454.
4. How to Find the GCF of 9448 and 9454?
Answer:
Greatest Common Factor of 9448 and 9454 = 2
Step 1: Find the prime factorization of 9448
9448 = 2 x 2 x 2 x 1181
Step 2: Find the prime factorization of 9454
9454 = 2 x 29 x 163
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 9448 and 9454 is 2