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 5064, 5066 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5064 and 5066 is 2.
GCF(5064,5066) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5064
2 | 5064 |
2 | 2532 |
2 | 1266 |
3 | 633 |
211 | 211 |
1 |
Prime factors of 5064 are 2,3,211. Prime factorization of 5064 in exponential form is:
5064 = 23×31×2111
Prime Factorization of 5066
2 | 5066 |
17 | 2533 |
149 | 149 |
1 |
Prime factors of 5066 are 2,17,149. Prime factorization of 5066 in exponential form is:
5066 = 21×171×1491
∴ So by taking common prime factors GCF of 5064 and 5066 is 2
Factors of 5064
List of positive integer factors of 5064 that divides 5064 without a remainder.
1,2,3,4,6,8,12,24,211,422,633,844,1266,1688,2532,5064
Factors of 5066
List of positive integer factors of 5066 that divides 5066 without a remainder.
1,2,17,34,149,298,2533,5066
Greatest Common Factor
We found the factors and prime factorization of 5064 and 5066. The biggest common factor number is the GCF number.
So the greatest common factor 5064 and 5066 is 2.
Also check out the Least Common Multiple of 5064 and 5066
(i) The GCF of 5064 and 5066 is associative
GCF of 5064 and 5066 = GCF of 5066 and 5064
1. What is the GCF of 5064 and 5066?
Answer: GCF of 5064 and 5066 is 2.
2. What are the Factors of 5064?
Answer: Factors of 5064 are 1, 2, 3, 4, 6, 8, 12, 24, 211, 422, 633, 844, 1266, 1688, 2532, 5064. There are 16 integers that are factors of 5064. The greatest factor of 5064 is 5064.
3. What are the Factors of 5066?
Answer: Factors of 5066 are 1, 2, 17, 34, 149, 298, 2533, 5066. There are 8 integers that are factors of 5066. The greatest factor of 5066 is 5066.
4. How to Find the GCF of 5064 and 5066?
Answer:
Greatest Common Factor of 5064 and 5066 = 2
Step 1: Find the prime factorization of 5064
5064 = 2 x 2 x 2 x 3 x 211
Step 2: Find the prime factorization of 5066
5066 = 2 x 17 x 149
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 5064 and 5066 is 2