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 2070, 2077 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2070 and 2077 is 1.
GCF(2070,2077) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 2077
31 | 2077 |
67 | 67 |
1 |
Prime factors of 2077 are 31,67. Prime factorization of 2077 in exponential form is:
2077 = 311×671
∴ So by taking common prime factors GCF of 2070 and 2077 is 1
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
Factors of 2077
List of positive integer factors of 2077 that divides 2077 without a remainder.
1,31,67,2077
Greatest Common Factor
We found the factors and prime factorization of 2070 and 2077. The biggest common factor number is the GCF number.
So the greatest common factor 2070 and 2077 is 1.
Also check out the Least Common Multiple of 2070 and 2077
(i) The GCF of 2070 and 2077 is associative
GCF of 2070 and 2077 = GCF of 2077 and 2070
1. What is the GCF of 2070 and 2077?
Answer: GCF of 2070 and 2077 is 1.
2. 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.
3. What are the Factors of 2077?
Answer: Factors of 2077 are 1, 31, 67, 2077. There are 4 integers that are factors of 2077. The greatest factor of 2077 is 2077.
4. How to Find the GCF of 2070 and 2077?
Answer:
Greatest Common Factor of 2070 and 2077 = 1
Step 1: Find the prime factorization of 2070
2070 = 2 x 3 x 3 x 5 x 23
Step 2: Find the prime factorization of 2077
2077 = 31 x 67
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 2070 and 2077 is 1