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 5166, 5174 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5166 and 5174 is 2.
GCF(5166,5174) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5166
2 | 5166 |
3 | 2583 |
3 | 861 |
7 | 287 |
41 | 41 |
1 |
Prime factors of 5166 are 2,3,7,41. Prime factorization of 5166 in exponential form is:
5166 = 21×32×71×411
Prime Factorization of 5174
2 | 5174 |
13 | 2587 |
199 | 199 |
1 |
Prime factors of 5174 are 2,13,199. Prime factorization of 5174 in exponential form is:
5174 = 21×131×1991
∴ So by taking common prime factors GCF of 5166 and 5174 is 2
Factors of 5166
List of positive integer factors of 5166 that divides 5166 without a remainder.
1,2,3,6,7,9,14,18,21,41,42,63,82,123,126,246,287,369,574,738,861,1722,2583,5166
Factors of 5174
List of positive integer factors of 5174 that divides 5174 without a remainder.
1,2,13,26,199,398,2587,5174
Greatest Common Factor
We found the factors and prime factorization of 5166 and 5174. The biggest common factor number is the GCF number.
So the greatest common factor 5166 and 5174 is 2.
Also check out the Least Common Multiple of 5166 and 5174
(i) The GCF of 5166 and 5174 is associative
GCF of 5166 and 5174 = GCF of 5174 and 5166
1. What is the GCF of 5166 and 5174?
Answer: GCF of 5166 and 5174 is 2.
2. What are the Factors of 5166?
Answer: Factors of 5166 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 41, 42, 63, 82, 123, 126, 246, 287, 369, 574, 738, 861, 1722, 2583, 5166. There are 24 integers that are factors of 5166. The greatest factor of 5166 is 5166.
3. What are the Factors of 5174?
Answer: Factors of 5174 are 1, 2, 13, 26, 199, 398, 2587, 5174. There are 8 integers that are factors of 5174. The greatest factor of 5174 is 5174.
4. How to Find the GCF of 5166 and 5174?
Answer:
Greatest Common Factor of 5166 and 5174 = 2
Step 1: Find the prime factorization of 5166
5166 = 2 x 3 x 3 x 7 x 41
Step 2: Find the prime factorization of 5174
5174 = 2 x 13 x 199
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 5166 and 5174 is 2