What is the Greatest Common Factor of 65216 and 65228?

Greatest common factor (GCF) of 65216 and 65228 is 4.

GCF(65216,65228) = 4

We will now calculate the prime factors of 65216 and 65228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65216 and 65228.

How to find the GCF of 65216 and 65228?

We will first find the prime factorization of 65216 and 65228. After we will calculate the factors of 65216 and 65228 and find the biggest common factor number .

Step-1: Prime Factorization of 65216

Prime factors of 65216 are 2, 1019. Prime factorization of 65216 in exponential form is:

65216 = 2⁶ × 1019¹

Step-2: Prime Factorization of 65228

Prime factors of 65228 are 2, 23, 709. Prime factorization of 65228 in exponential form is:

65228 = 2² × 23¹ × 709¹

Step-3: Factors of 65216

List of positive integer factors of 65216 that divides 65216 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1019, 2038, 4076, 8152, 16304, 32608

Step-4: Factors of 65228

List of positive integer factors of 65228 that divides 65216 without a remainder.

1, 2, 4, 23, 46, 92, 709, 1418, 2836, 16307, 32614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65216 and 65228. The biggest common factor number is the GCF number.
So the greatest common factor 65216 and 65228 is 4.

Also check out the Least Common Multiple of 65216 and 65228