What is the Greatest Common Factor of 64512 and 64530?

Greatest common factor (GCF) of 64512 and 64530 is 18.

GCF(64512,64530) = 18

We will now calculate the prime factors of 64512 and 64530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64512 and 64530.

How to find the GCF of 64512 and 64530?

We will first find the prime factorization of 64512 and 64530. After we will calculate the factors of 64512 and 64530 and find the biggest common factor number .

Step-1: Prime Factorization of 64512

Prime factors of 64512 are 2, 3, 7. Prime factorization of 64512 in exponential form is:

64512 = 2¹⁰ × 3² × 7¹

Step-2: Prime Factorization of 64530

Prime factors of 64530 are 2, 3, 5, 239. Prime factorization of 64530 in exponential form is:

64530 = 2¹ × 3³ × 5¹ × 239¹

Step-3: Factors of 64512

List of positive integer factors of 64512 that divides 64512 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 128, 144, 168, 192, 224, 252, 256, 288, 336, 384, 448, 504, 512, 576, 672, 768, 896, 1008, 1024, 1152, 1344, 1536, 1792, 2016, 2304, 2688, 3072, 3584, 4032, 4608, 5376, 7168, 8064, 9216, 10752, 16128, 21504, 32256

Step-4: Factors of 64530

List of positive integer factors of 64530 that divides 64512 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 239, 270, 478, 717, 1195, 1434, 2151, 2390, 3585, 4302, 6453, 7170, 10755, 12906, 21510, 32265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64512 and 64530. The biggest common factor number is the GCF number.
So the greatest common factor 64512 and 64530 is 18.

Also check out the Least Common Multiple of 64512 and 64530