What is the Greatest Common Factor of 64216 and 64224?

Greatest common factor (GCF) of 64216 and 64224 is 8.

GCF(64216,64224) = 8

We will now calculate the prime factors of 64216 and 64224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64216 and 64224.

How to find the GCF of 64216 and 64224?

We will first find the prime factorization of 64216 and 64224. After we will calculate the factors of 64216 and 64224 and find the biggest common factor number .

Step-1: Prime Factorization of 64216

Prime factors of 64216 are 2, 23, 349. Prime factorization of 64216 in exponential form is:

64216 = 2³ × 23¹ × 349¹

Step-2: Prime Factorization of 64224

Prime factors of 64224 are 2, 3, 223. Prime factorization of 64224 in exponential form is:

64224 = 2⁵ × 3² × 223¹

Step-3: Factors of 64216

List of positive integer factors of 64216 that divides 64216 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 349, 698, 1396, 2792, 8027, 16054, 32108

Step-4: Factors of 64224

List of positive integer factors of 64224 that divides 64216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 223, 288, 446, 669, 892, 1338, 1784, 2007, 2676, 3568, 4014, 5352, 7136, 8028, 10704, 16056, 21408, 32112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64216 and 64224. The biggest common factor number is the GCF number.
So the greatest common factor 64216 and 64224 is 8.

Also check out the Least Common Multiple of 64216 and 64224