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 5066, 5070 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5066 and 5070 is 2.
GCF(5066,5070) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 5070
2 | 5070 |
3 | 2535 |
5 | 845 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 5070 are 2,3,5,13. Prime factorization of 5070 in exponential form is:
5070 = 21×31×51×132
∴ So by taking common prime factors GCF of 5066 and 5070 is 2
Factors of 5066
List of positive integer factors of 5066 that divides 5066 without a remainder.
1,2,17,34,149,298,2533,5066
Factors of 5070
List of positive integer factors of 5070 that divides 5070 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,169,195,338,390,507,845,1014,1690,2535,5070
Greatest Common Factor
We found the factors and prime factorization of 5066 and 5070. The biggest common factor number is the GCF number.
So the greatest common factor 5066 and 5070 is 2.
Also check out the Least Common Multiple of 5066 and 5070
(i) The GCF of 5066 and 5070 is associative
GCF of 5066 and 5070 = GCF of 5070 and 5066
1. What is the GCF of 5066 and 5070?
Answer: GCF of 5066 and 5070 is 2.
2. 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.
3. What are the Factors of 5070?
Answer: Factors of 5070 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 169, 195, 338, 390, 507, 845, 1014, 1690, 2535, 5070. There are 24 integers that are factors of 5070. The greatest factor of 5070 is 5070.
4. How to Find the GCF of 5066 and 5070?
Answer:
Greatest Common Factor of 5066 and 5070 = 2
Step 1: Find the prime factorization of 5066
5066 = 2 x 17 x 149
Step 2: Find the prime factorization of 5070
5070 = 2 x 3 x 5 x 13 x 13
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 5066 and 5070 is 2