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 5068, 5074 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5068 and 5074 is 2.
GCF(5068,5074) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5068
2 | 5068 |
2 | 2534 |
7 | 1267 |
181 | 181 |
1 |
Prime factors of 5068 are 2,7,181. Prime factorization of 5068 in exponential form is:
5068 = 22×71×1811
Prime Factorization of 5074
2 | 5074 |
43 | 2537 |
59 | 59 |
1 |
Prime factors of 5074 are 2,43,59. Prime factorization of 5074 in exponential form is:
5074 = 21×431×591
∴ So by taking common prime factors GCF of 5068 and 5074 is 2
Factors of 5068
List of positive integer factors of 5068 that divides 5068 without a remainder.
1,2,4,7,14,28,181,362,724,1267,2534,5068
Factors of 5074
List of positive integer factors of 5074 that divides 5074 without a remainder.
1,2,43,59,86,118,2537,5074
Greatest Common Factor
We found the factors and prime factorization of 5068 and 5074. The biggest common factor number is the GCF number.
So the greatest common factor 5068 and 5074 is 2.
Also check out the Least Common Multiple of 5068 and 5074
(i) The GCF of 5068 and 5074 is associative
GCF of 5068 and 5074 = GCF of 5074 and 5068
1. What is the GCF of 5068 and 5074?
Answer: GCF of 5068 and 5074 is 2.
2. What are the Factors of 5068?
Answer: Factors of 5068 are 1, 2, 4, 7, 14, 28, 181, 362, 724, 1267, 2534, 5068. There are 12 integers that are factors of 5068. The greatest factor of 5068 is 5068.
3. What are the Factors of 5074?
Answer: Factors of 5074 are 1, 2, 43, 59, 86, 118, 2537, 5074. There are 8 integers that are factors of 5074. The greatest factor of 5074 is 5074.
4. How to Find the GCF of 5068 and 5074?
Answer:
Greatest Common Factor of 5068 and 5074 = 2
Step 1: Find the prime factorization of 5068
5068 = 2 x 2 x 7 x 181
Step 2: Find the prime factorization of 5074
5074 = 2 x 43 x 59
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 5068 and 5074 is 2