What is the Greatest Common Factor of 64224 and 64230?

Greatest common factor (GCF) of 64224 and 64230 is 6.

GCF(64224,64230) = 6

We will now calculate the prime factors of 64224 and 64230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64224 and 64230.

How to find the GCF of 64224 and 64230?

We will first find the prime factorization of 64224 and 64230. After we will calculate the factors of 64224 and 64230 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 64230

Prime factors of 64230 are 2, 3, 5, 2141. Prime factorization of 64230 in exponential form is:

64230 = 2¹ × 3¹ × 5¹ × 2141¹

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 64230

List of positive integer factors of 64230 that divides 64224 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2141, 4282, 6423, 10705, 12846, 21410, 32115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64224 and 64230. The biggest common factor number is the GCF number.
So the greatest common factor 64224 and 64230 is 6.

Also check out the Least Common Multiple of 64224 and 64230