What is the Greatest Common Factor of 65216 and 65220?

Greatest common factor (GCF) of 65216 and 65220 is 4.

GCF(65216,65220) = 4

We will now calculate the prime factors of 65216 and 65220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65216 and 65220.

How to find the GCF of 65216 and 65220?

We will first find the prime factorization of 65216 and 65220. After we will calculate the factors of 65216 and 65220 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 65220

Prime factors of 65220 are 2, 3, 5, 1087. Prime factorization of 65220 in exponential form is:

65220 = 2² × 3¹ × 5¹ × 1087¹

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 65220

List of positive integer factors of 65220 that divides 65216 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1087, 2174, 3261, 4348, 5435, 6522, 10870, 13044, 16305, 21740, 32610

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65216 and 65220. The biggest common factor number is the GCF number.
So the greatest common factor 65216 and 65220 is 4.

Also check out the Least Common Multiple of 65216 and 65220