What is the Greatest Common Factor of 64446 and 64452?

Greatest common factor (GCF) of 64446 and 64452 is 6.

GCF(64446,64452) = 6

We will now calculate the prime factors of 64446 and 64452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64446 and 64452.

How to find the GCF of 64446 and 64452?

We will first find the prime factorization of 64446 and 64452. After we will calculate the factors of 64446 and 64452 and find the biggest common factor number .

Step-1: Prime Factorization of 64446

Prime factors of 64446 are 2, 3, 23, 467. Prime factorization of 64446 in exponential form is:

64446 = 2¹ × 3¹ × 23¹ × 467¹

Step-2: Prime Factorization of 64452

Prime factors of 64452 are 2, 3, 41, 131. Prime factorization of 64452 in exponential form is:

64452 = 2² × 3¹ × 41¹ × 131¹

Step-3: Factors of 64446

List of positive integer factors of 64446 that divides 64446 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 467, 934, 1401, 2802, 10741, 21482, 32223

Step-4: Factors of 64452

List of positive integer factors of 64452 that divides 64446 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 131, 164, 246, 262, 393, 492, 524, 786, 1572, 5371, 10742, 16113, 21484, 32226

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64446 and 64452. The biggest common factor number is the GCF number.
So the greatest common factor 64446 and 64452 is 6.

Also check out the Least Common Multiple of 64446 and 64452