What is the Greatest Common Factor of 64224 and 64240?

Greatest common factor (GCF) of 64224 and 64240 is 16.

GCF(64224,64240) = 16

We will now calculate the prime factors of 64224 and 64240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64224 and 64240.

How to find the GCF of 64224 and 64240?

We will first find the prime factorization of 64224 and 64240. After we will calculate the factors of 64224 and 64240 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 64240

Prime factors of 64240 are 2, 5, 11, 73. Prime factorization of 64240 in exponential form is:

64240 = 2⁴ × 5¹ × 11¹ × 73¹

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 64240

List of positive integer factors of 64240 that divides 64224 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 73, 80, 88, 110, 146, 176, 220, 292, 365, 440, 584, 730, 803, 880, 1168, 1460, 1606, 2920, 3212, 4015, 5840, 6424, 8030, 12848, 16060, 32120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64224 and 64240. The biggest common factor number is the GCF number.
So the greatest common factor 64224 and 64240 is 16.

Also check out the Least Common Multiple of 64224 and 64240