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 4994, 4997 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4994 and 4997 is 1.
GCF(4994,4997) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4994
2 | 4994 |
11 | 2497 |
227 | 227 |
1 |
Prime factors of 4994 are 2,11,227. Prime factorization of 4994 in exponential form is:
4994 = 21×111×2271
Prime Factorization of 4997
19 | 4997 |
263 | 263 |
1 |
Prime factors of 4997 are 19,263. Prime factorization of 4997 in exponential form is:
4997 = 191×2631
∴ So by taking common prime factors GCF of 4994 and 4997 is 1
Factors of 4994
List of positive integer factors of 4994 that divides 4994 without a remainder.
1,2,11,22,227,454,2497,4994
Factors of 4997
List of positive integer factors of 4997 that divides 4997 without a remainder.
1,19,263,4997
Greatest Common Factor
We found the factors and prime factorization of 4994 and 4997. The biggest common factor number is the GCF number.
So the greatest common factor 4994 and 4997 is 1.
Also check out the Least Common Multiple of 4994 and 4997
(i) The GCF of 4994 and 4997 is associative
GCF of 4994 and 4997 = GCF of 4997 and 4994
1. What is the GCF of 4994 and 4997?
Answer: GCF of 4994 and 4997 is 1.
2. What are the Factors of 4994?
Answer: Factors of 4994 are 1, 2, 11, 22, 227, 454, 2497, 4994. There are 8 integers that are factors of 4994. The greatest factor of 4994 is 4994.
3. What are the Factors of 4997?
Answer: Factors of 4997 are 1, 19, 263, 4997. There are 4 integers that are factors of 4997. The greatest factor of 4997 is 4997.
4. How to Find the GCF of 4994 and 4997?
Answer:
Greatest Common Factor of 4994 and 4997 = 1
Step 1: Find the prime factorization of 4994
4994 = 2 x 11 x 227
Step 2: Find the prime factorization of 4997
4997 = 19 x 263
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 4994 and 4997 is 1