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 2569, 2574 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2569 and 2574 is 1.
GCF(2569,2574) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2569
7 | 2569 |
367 | 367 |
1 |
Prime factors of 2569 are 7,367. Prime factorization of 2569 in exponential form is:
2569 = 71×3671
Prime Factorization of 2574
2 | 2574 |
3 | 1287 |
3 | 429 |
11 | 143 |
13 | 13 |
1 |
Prime factors of 2574 are 2,3,11,13. Prime factorization of 2574 in exponential form is:
2574 = 21×32×111×131
∴ So by taking common prime factors GCF of 2569 and 2574 is 1
Factors of 2569
List of positive integer factors of 2569 that divides 2569 without a remainder.
1,7,367,2569
Factors of 2574
List of positive integer factors of 2574 that divides 2574 without a remainder.
1,2,3,6,9,11,13,18,22,26,33,39,66,78,99,117,143,198,234,286,429,858,1287,2574
Greatest Common Factor
We found the factors and prime factorization of 2569 and 2574. The biggest common factor number is the GCF number.
So the greatest common factor 2569 and 2574 is 1.
Also check out the Least Common Multiple of 2569 and 2574
(i) The GCF of 2569 and 2574 is associative
GCF of 2569 and 2574 = GCF of 2574 and 2569
1. What is the GCF of 2569 and 2574?
Answer: GCF of 2569 and 2574 is 1.
2. What are the Factors of 2569?
Answer: Factors of 2569 are 1, 7, 367, 2569. There are 4 integers that are factors of 2569. The greatest factor of 2569 is 2569.
3. What are the Factors of 2574?
Answer: Factors of 2574 are 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 33, 39, 66, 78, 99, 117, 143, 198, 234, 286, 429, 858, 1287, 2574. There are 24 integers that are factors of 2574. The greatest factor of 2574 is 2574.
4. How to Find the GCF of 2569 and 2574?
Answer:
Greatest Common Factor of 2569 and 2574 = 1
Step 1: Find the prime factorization of 2569
2569 = 7 x 367
Step 2: Find the prime factorization of 2574
2574 = 2 x 3 x 3 x 11 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 2569 and 2574 is 1