What is the Greatest Common Factor of 4814 and 4830?

Greatest common factor (GCF) of 4814 and 4830 is 2.

GCF(4814,4830) = 2

We will now calculate the prime factors of 4814 and 4830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4814 and 4830.

How to find the GCF of 4814 and 4830?

We will first find the prime factorization of 4814 and 4830. After we will calculate the factors of 4814 and 4830 and find the biggest common factor number .

Step-1: Prime Factorization of 4814

Prime factors of 4814 are 2, 29, 83. Prime factorization of 4814 in exponential form is:

4814 = 2¹ × 29¹ × 83¹

Step-2: 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-3: Factors of 4814

List of positive integer factors of 4814 that divides 4814 without a remainder.

1, 2, 29, 58, 83, 166, 2407

Step-4: Factors of 4830

List of positive integer factors of 4830 that divides 4814 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4814 and 4830. The biggest common factor number is the GCF number.
So the greatest common factor 4814 and 4830 is 2.

Also check out the Least Common Multiple of 4814 and 4830