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 4829, 4832 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4829 and 4832 is 1.
GCF(4829,4832) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4829
11 | 4829 |
439 | 439 |
1 |
Prime factors of 4829 are 11,439. Prime factorization of 4829 in exponential form is:
4829 = 111×4391
Prime Factorization of 4832
2 | 4832 |
2 | 2416 |
2 | 1208 |
2 | 604 |
2 | 302 |
151 | 151 |
1 |
Prime factors of 4832 are 2,151. Prime factorization of 4832 in exponential form is:
4832 = 25×1511
∴ So by taking common prime factors GCF of 4829 and 4832 is 1
Factors of 4829
List of positive integer factors of 4829 that divides 4829 without a remainder.
1,11,439,4829
Factors of 4832
List of positive integer factors of 4832 that divides 4832 without a remainder.
1,2,4,8,16,32,151,302,604,1208,2416,4832
Greatest Common Factor
We found the factors and prime factorization of 4829 and 4832. The biggest common factor number is the GCF number.
So the greatest common factor 4829 and 4832 is 1.
Also check out the Least Common Multiple of 4829 and 4832
(i) The GCF of 4829 and 4832 is associative
GCF of 4829 and 4832 = GCF of 4832 and 4829
1. What is the GCF of 4829 and 4832?
Answer: GCF of 4829 and 4832 is 1.
2. What are the Factors of 4829?
Answer: Factors of 4829 are 1, 11, 439, 4829. There are 4 integers that are factors of 4829. The greatest factor of 4829 is 4829.
3. What are the Factors of 4832?
Answer: Factors of 4832 are 1, 2, 4, 8, 16, 32, 151, 302, 604, 1208, 2416, 4832. There are 12 integers that are factors of 4832. The greatest factor of 4832 is 4832.
4. How to Find the GCF of 4829 and 4832?
Answer:
Greatest Common Factor of 4829 and 4832 = 1
Step 1: Find the prime factorization of 4829
4829 = 11 x 439
Step 2: Find the prime factorization of 4832
4832 = 2 x 2 x 2 x 2 x 2 x 151
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 4829 and 4832 is 1