What is the Greatest Common Factor of 49216 and 49230?

Greatest common factor (GCF) of 49216 and 49230 is 2.

GCF(49216,49230) = 2

We will now calculate the prime factors of 49216 and 49230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49216 and 49230.

How to find the GCF of 49216 and 49230?

We will first find the prime factorization of 49216 and 49230. After we will calculate the factors of 49216 and 49230 and find the biggest common factor number .

Step-1: Prime Factorization of 49216

Prime factors of 49216 are 2, 769. Prime factorization of 49216 in exponential form is:

49216 = 2⁶ × 769¹

Step-2: Prime Factorization of 49230

Prime factors of 49230 are 2, 3, 5, 547. Prime factorization of 49230 in exponential form is:

49230 = 2¹ × 3² × 5¹ × 547¹

Step-3: Factors of 49216

List of positive integer factors of 49216 that divides 49216 without a remainder.

1, 2, 4, 8, 16, 32, 64, 769, 1538, 3076, 6152, 12304, 24608

Step-4: Factors of 49230

List of positive integer factors of 49230 that divides 49216 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 547, 1094, 1641, 2735, 3282, 4923, 5470, 8205, 9846, 16410, 24615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49216 and 49230. The biggest common factor number is the GCF number.
So the greatest common factor 49216 and 49230 is 2.

Also check out the Least Common Multiple of 49216 and 49230