What is the Greatest Common Factor of 64224 and 64233?

Greatest common factor (GCF) of 64224 and 64233 is 9.

GCF(64224,64233) = 9

We will now calculate the prime factors of 64224 and 64233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64224 and 64233.

How to find the GCF of 64224 and 64233?

We will first find the prime factorization of 64224 and 64233. After we will calculate the factors of 64224 and 64233 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64233

Prime factors of 64233 are 3, 13, 61. Prime factorization of 64233 in exponential form is:

64233 = 3⁴ × 13¹ × 61¹

Step-3: Factors of 64224

List of positive integer factors of 64224 that divides 64224 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

Step-4: Factors of 64233

List of positive integer factors of 64233 that divides 64224 without a remainder.

1, 3, 9, 13, 27, 39, 61, 81, 117, 183, 351, 549, 793, 1053, 1647, 2379, 4941, 7137, 21411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64224 and 64233. The biggest common factor number is the GCF number.
So the greatest common factor 64224 and 64233 is 9.

Also check out the Least Common Multiple of 64224 and 64233