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 2421, 2429 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2421 and 2429 is 1.
GCF(2421,2429) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2421
3 | 2421 |
3 | 807 |
269 | 269 |
1 |
Prime factors of 2421 are 3,269. Prime factorization of 2421 in exponential form is:
2421 = 32×2691
Prime Factorization of 2429
7 | 2429 |
347 | 347 |
1 |
Prime factors of 2429 are 7,347. Prime factorization of 2429 in exponential form is:
2429 = 71×3471
∴ So by taking common prime factors GCF of 2421 and 2429 is 1
Factors of 2421
List of positive integer factors of 2421 that divides 2421 without a remainder.
1,3,9,269,807,2421
Factors of 2429
List of positive integer factors of 2429 that divides 2429 without a remainder.
1,7,347,2429
Greatest Common Factor
We found the factors and prime factorization of 2421 and 2429. The biggest common factor number is the GCF number.
So the greatest common factor 2421 and 2429 is 1.
Also check out the Least Common Multiple of 2421 and 2429
(i) The GCF of 2421 and 2429 is associative
GCF of 2421 and 2429 = GCF of 2429 and 2421
1. What is the GCF of 2421 and 2429?
Answer: GCF of 2421 and 2429 is 1.
2. What are the Factors of 2421?
Answer: Factors of 2421 are 1, 3, 9, 269, 807, 2421. There are 6 integers that are factors of 2421. The greatest factor of 2421 is 2421.
3. What are the Factors of 2429?
Answer: Factors of 2429 are 1, 7, 347, 2429. There are 4 integers that are factors of 2429. The greatest factor of 2429 is 2429.
4. How to Find the GCF of 2421 and 2429?
Answer:
Greatest Common Factor of 2421 and 2429 = 1
Step 1: Find the prime factorization of 2421
2421 = 3 x 3 x 269
Step 2: Find the prime factorization of 2429
2429 = 7 x 347
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 2421 and 2429 is 1