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 2077, 2080 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2077 and 2080 is 1.
GCF(2077,2080) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 2080
2 | 2080 |
2 | 1040 |
2 | 520 |
2 | 260 |
2 | 130 |
5 | 65 |
13 | 13 |
1 |
Prime factors of 2080 are 2,5,13. Prime factorization of 2080 in exponential form is:
2080 = 25×51×131
∴ So by taking common prime factors GCF of 2077 and 2080 is 1
Factors of 2077
List of positive integer factors of 2077 that divides 2077 without a remainder.
1,31,67,2077
Factors of 2080
List of positive integer factors of 2080 that divides 2080 without a remainder.
1,2,4,5,8,10,13,16,20,26,32,40,52,65,80,104,130,160,208,260,416,520,1040,2080
Greatest Common Factor
We found the factors and prime factorization of 2077 and 2080. The biggest common factor number is the GCF number.
So the greatest common factor 2077 and 2080 is 1.
Also check out the Least Common Multiple of 2077 and 2080
(i) The GCF of 2077 and 2080 is associative
GCF of 2077 and 2080 = GCF of 2080 and 2077
1. What is the GCF of 2077 and 2080?
Answer: GCF of 2077 and 2080 is 1.
2. 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.
3. What are the Factors of 2080?
Answer: Factors of 2080 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 65, 80, 104, 130, 160, 208, 260, 416, 520, 1040, 2080. There are 24 integers that are factors of 2080. The greatest factor of 2080 is 2080.
4. How to Find the GCF of 2077 and 2080?
Answer:
Greatest Common Factor of 2077 and 2080 = 1
Step 1: Find the prime factorization of 2077
2077 = 31 x 67
Step 2: Find the prime factorization of 2080
2080 = 2 x 2 x 2 x 2 x 2 x 5 x 13
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 2077 and 2080 is 1