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 4269, 4270 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4269 and 4270 is 1.
GCF(4269,4270) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4269
3 | 4269 |
1423 | 1423 |
1 |
Prime factors of 4269 are 3,1423. Prime factorization of 4269 in exponential form is:
4269 = 31×14231
Prime Factorization of 4270
2 | 4270 |
5 | 2135 |
7 | 427 |
61 | 61 |
1 |
Prime factors of 4270 are 2,5,7,61. Prime factorization of 4270 in exponential form is:
4270 = 21×51×71×611
∴ So by taking common prime factors GCF of 4269 and 4270 is 1
Factors of 4269
List of positive integer factors of 4269 that divides 4269 without a remainder.
1,3,1423,4269
Factors of 4270
List of positive integer factors of 4270 that divides 4270 without a remainder.
1,2,5,7,10,14,35,61,70,122,305,427,610,854,2135,4270
Greatest Common Factor
We found the factors and prime factorization of 4269 and 4270. The biggest common factor number is the GCF number.
So the greatest common factor 4269 and 4270 is 1.
Also check out the Least Common Multiple of 4269 and 4270
(i) The GCF of 4269 and 4270 is associative
GCF of 4269 and 4270 = GCF of 4270 and 4269
1. What is the GCF of 4269 and 4270?
Answer: GCF of 4269 and 4270 is 1.
2. What are the Factors of 4269?
Answer: Factors of 4269 are 1, 3, 1423, 4269. There are 4 integers that are factors of 4269. The greatest factor of 4269 is 4269.
3. What are the Factors of 4270?
Answer: Factors of 4270 are 1, 2, 5, 7, 10, 14, 35, 61, 70, 122, 305, 427, 610, 854, 2135, 4270. There are 16 integers that are factors of 4270. The greatest factor of 4270 is 4270.
4. How to Find the GCF of 4269 and 4270?
Answer:
Greatest Common Factor of 4269 and 4270 = 1
Step 1: Find the prime factorization of 4269
4269 = 3 x 1423
Step 2: Find the prime factorization of 4270
4270 = 2 x 5 x 7 x 61
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 4269 and 4270 is 1