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, 4995 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4994 and 4995 is 1.
GCF(4994,4995) = 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 4995
3 | 4995 |
3 | 1665 |
3 | 555 |
5 | 185 |
37 | 37 |
1 |
Prime factors of 4995 are 3,5,37. Prime factorization of 4995 in exponential form is:
4995 = 33×51×371
∴ So by taking common prime factors GCF of 4994 and 4995 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 4995
List of positive integer factors of 4995 that divides 4995 without a remainder.
1,3,5,9,15,27,37,45,111,135,185,333,555,999,1665,4995
Greatest Common Factor
We found the factors and prime factorization of 4994 and 4995. The biggest common factor number is the GCF number.
So the greatest common factor 4994 and 4995 is 1.
Also check out the Least Common Multiple of 4994 and 4995
(i) The GCF of 4994 and 4995 is associative
GCF of 4994 and 4995 = GCF of 4995 and 4994
1. What is the GCF of 4994 and 4995?
Answer: GCF of 4994 and 4995 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 4995?
Answer: Factors of 4995 are 1, 3, 5, 9, 15, 27, 37, 45, 111, 135, 185, 333, 555, 999, 1665, 4995. There are 16 integers that are factors of 4995. The greatest factor of 4995 is 4995.
4. How to Find the GCF of 4994 and 4995?
Answer:
Greatest Common Factor of 4994 and 4995 = 1
Step 1: Find the prime factorization of 4994
4994 = 2 x 11 x 227
Step 2: Find the prime factorization of 4995
4995 = 3 x 3 x 3 x 5 x 37
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 4995 is 1