What is the Greatest Common Factor of 4829 and 4844?

Greatest common factor (GCF) of 4829 and 4844 is 1.

GCF(4829,4844) = 1

We will now calculate the prime factors of 4829 and 4844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4829 and 4844.

How to find the GCF of 4829 and 4844?

We will first find the prime factorization of 4829 and 4844. After we will calculate the factors of 4829 and 4844 and find the biggest common factor number .

Step-1: Prime Factorization of 4829

Prime factors of 4829 are 11, 439. Prime factorization of 4829 in exponential form is:

4829 = 11¹ × 439¹

Step-2: Prime Factorization of 4844

Prime factors of 4844 are 2, 7, 173. Prime factorization of 4844 in exponential form is:

4844 = 2² × 7¹ × 173¹

Step-3: Factors of 4829

List of positive integer factors of 4829 that divides 4829 without a remainder.

1, 11, 439

Step-4: Factors of 4844

List of positive integer factors of 4844 that divides 4829 without a remainder.

1, 2, 4, 7, 14, 28, 173, 346, 692, 1211, 2422

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4829 and 4844. The biggest common factor number is the GCF number.
So the greatest common factor 4829 and 4844 is 1.

Also check out the Least Common Multiple of 4829 and 4844