What is the Greatest Common Factor of 4830 and 4844?

Greatest common factor (GCF) of 4830 and 4844 is 14.

GCF(4830,4844) = 14

We will now calculate the prime factors of 4830 and 4844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4830 and 4844.

How to find the GCF of 4830 and 4844?

We will first find the prime factorization of 4830 and 4844. After we will calculate the factors of 4830 and 4844 and find the biggest common factor number .

Step-1: Prime Factorization of 4830

Prime factors of 4830 are 2, 3, 5, 7, 23. Prime factorization of 4830 in exponential form is:

4830 = 2¹ × 3¹ × 5¹ × 7¹ × 23¹

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 4830

List of positive integer factors of 4830 that divides 4830 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 69, 70, 105, 115, 138, 161, 210, 230, 322, 345, 483, 690, 805, 966, 1610, 2415

Step-4: Factors of 4844

List of positive integer factors of 4844 that divides 4830 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 4830 and 4844. The biggest common factor number is the GCF number.
So the greatest common factor 4830 and 4844 is 14.

Also check out the Least Common Multiple of 4830 and 4844