Greatest Common Factor of 294 and 301
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 294, 301 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 294 and 301 is 7.
GCF(294,301) = 7
GCF of 294 and 301
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 294 and 301 by prime factorization method
- Greatest Common Factor of 294 and 301 by matching factors method
GCF of 294 and 301 is 7
Prime Factorization of 294
| 2 | 294 |
| 3 | 147 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 294 are 2,3,7. Prime factorization of 294 in exponential form is:
294 = 21×31×72
Prime Factorization of 301
| 7 | 301 |
| 43 | 43 |
| 1 |
Prime factors of 301 are 7,43. Prime factorization of 301 in exponential form is:
301 = 71×431
∴ So by taking common prime factors GCF of 294 and 301 is 7
Greatest Common Factor of 294 and 301 by matching factors method
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Greatest Common Factor
We found the factors and prime factorization of 294 and 301. The biggest common factor number is the GCF number.
So the greatest common factor 294 and 301 is 7.
Also check out the Least Common Multiple of 294 and 301
Properties of GCF 294 and 301
(i) The GCF of 294 and 301 is associative
GCF of 294 and 301 = GCF of 301 and 294
Related Greatest Common Factor of 294
Related Greatest Common Factor of 301
Frequently Asked Questions on GCF of 294 and 301
1. What is the GCF of 294 and 301?
Answer: GCF of 294 and 301 is 7.
2. What are the Factors of 294?
Answer: Factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294. There are 12 integers that are factors of 294. The greatest factor of 294 is 294.
3. What are the Factors of 301?
Answer: Factors of 301 are 1, 7, 43, 301. There are 4 integers that are factors of 301. The greatest factor of 301 is 301.
4. How to Find the GCF of 294 and 301?
Answer:
Greatest Common Factor of 294 and 301 = 7
Step 1: Find the prime factorization of 294
294 = 2 x 3 x 7 x 7
Step 2: Find the prime factorization of 301
301 = 7 x 43
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 294 and 301 is 7