Greatest Common Factor of 4829 and 4832

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

GCF of 4829 and 4832

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 4829 and 4832

GCF of 4829 and 4832 is 1

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

Greatest Common Factor of 4829 and 4832 by matching factors method

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

Properties of GCF 4829 and 4832

(i) The GCF of 4829 and 4832 is associative

GCF of 4829 and 4832 = GCF of 4832 and 4829

Frequently Asked Questions on GCF of 4829 and 4832

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