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 2064, 2070 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2064 and 2070 is 6.
GCF(2064,2070) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2064
2 | 2064 |
2 | 1032 |
2 | 516 |
2 | 258 |
3 | 129 |
43 | 43 |
1 |
Prime factors of 2064 are 2,3,43. Prime factorization of 2064 in exponential form is:
2064 = 24×31×431
Prime Factorization of 2070
2 | 2070 |
3 | 1035 |
3 | 345 |
5 | 115 |
23 | 23 |
1 |
Prime factors of 2070 are 2,3,5,23. Prime factorization of 2070 in exponential form is:
2070 = 21×32×51×231
∴ So by taking common prime factors GCF of 2064 and 2070 is 6
Factors of 2064
List of positive integer factors of 2064 that divides 2064 without a remainder.
1,2,3,4,6,8,12,16,24,43,48,86,129,172,258,344,516,688,1032,2064
Factors of 2070
List of positive integer factors of 2070 that divides 2070 without a remainder.
1,2,3,5,6,9,10,15,18,23,30,45,46,69,90,115,138,207,230,345,414,690,1035,2070
Greatest Common Factor
We found the factors and prime factorization of 2064 and 2070. The biggest common factor number is the GCF number.
So the greatest common factor 2064 and 2070 is 6.
Also check out the Least Common Multiple of 2064 and 2070
(i) The GCF of 2064 and 2070 is associative
GCF of 2064 and 2070 = GCF of 2070 and 2064
1. What is the GCF of 2064 and 2070?
Answer: GCF of 2064 and 2070 is 6.
2. What are the Factors of 2064?
Answer: Factors of 2064 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 43, 48, 86, 129, 172, 258, 344, 516, 688, 1032, 2064. There are 20 integers that are factors of 2064. The greatest factor of 2064 is 2064.
3. What are the Factors of 2070?
Answer: Factors of 2070 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 69, 90, 115, 138, 207, 230, 345, 414, 690, 1035, 2070. There are 24 integers that are factors of 2070. The greatest factor of 2070 is 2070.
4. How to Find the GCF of 2064 and 2070?
Answer:
Greatest Common Factor of 2064 and 2070 = 6
Step 1: Find the prime factorization of 2064
2064 = 2 x 2 x 2 x 2 x 3 x 43
Step 2: Find the prime factorization of 2070
2070 = 2 x 3 x 3 x 5 x 23
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 2064 and 2070 is 6