What is the Greatest Common Factor of 4815 and 4830?

Greatest common factor (GCF) of 4815 and 4830 is 15.

GCF(4815,4830) = 15

We will now calculate the prime factors of 4815 and 4830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4815 and 4830.

How to find the GCF of 4815 and 4830?

We will first find the prime factorization of 4815 and 4830. After we will calculate the factors of 4815 and 4830 and find the biggest common factor number .

Step-1: Prime Factorization of 4815

Prime factors of 4815 are 3, 5, 107. Prime factorization of 4815 in exponential form is:

4815 = 3² × 5¹ × 107¹

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 4815

List of positive integer factors of 4815 that divides 4815 without a remainder.

1, 3, 5, 9, 15, 45, 107, 321, 535, 963, 1605

Step-4: Factors of 4830

List of positive integer factors of 4830 that divides 4815 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 4815 and 4830. The biggest common factor number is the GCF number.
So the greatest common factor 4815 and 4830 is 15.

Also check out the Least Common Multiple of 4815 and 4830