What is the Greatest Common Factor of 59216 and 59230?

Greatest common factor (GCF) of 59216 and 59230 is 2.

GCF(59216,59230) = 2

We will now calculate the prime factors of 59216 and 59230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59216 and 59230.

How to find the GCF of 59216 and 59230?

We will first find the prime factorization of 59216 and 59230. After we will calculate the factors of 59216 and 59230 and find the biggest common factor number .

Step-1: Prime Factorization of 59216

Prime factors of 59216 are 2, 3701. Prime factorization of 59216 in exponential form is:

59216 = 2⁴ × 3701¹

Step-2: Prime Factorization of 59230

Prime factors of 59230 are 2, 5, 5923. Prime factorization of 59230 in exponential form is:

59230 = 2¹ × 5¹ × 5923¹

Step-3: Factors of 59216

List of positive integer factors of 59216 that divides 59216 without a remainder.

1, 2, 4, 8, 16, 3701, 7402, 14804, 29608

Step-4: Factors of 59230

List of positive integer factors of 59230 that divides 59216 without a remainder.

1, 2, 5, 10, 5923, 11846, 29615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59216 and 59230. The biggest common factor number is the GCF number.
So the greatest common factor 59216 and 59230 is 2.

Also check out the Least Common Multiple of 59216 and 59230