What is the Greatest Common Factor of 66304 and 66324?

Greatest common factor (GCF) of 66304 and 66324 is 4.

GCF(66304,66324) = 4

We will now calculate the prime factors of 66304 and 66324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66304 and 66324.

How to find the GCF of 66304 and 66324?

We will first find the prime factorization of 66304 and 66324. After we will calculate the factors of 66304 and 66324 and find the biggest common factor number .

Step-1: Prime Factorization of 66304

Prime factors of 66304 are 2, 7, 37. Prime factorization of 66304 in exponential form is:

66304 = 2⁸ × 7¹ × 37¹

Step-2: Prime Factorization of 66324

Prime factors of 66324 are 2, 3, 5527. Prime factorization of 66324 in exponential form is:

66324 = 2² × 3¹ × 5527¹

Step-3: Factors of 66304

List of positive integer factors of 66304 that divides 66304 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 37, 56, 64, 74, 112, 128, 148, 224, 256, 259, 296, 448, 518, 592, 896, 1036, 1184, 1792, 2072, 2368, 4144, 4736, 8288, 9472, 16576, 33152

Step-4: Factors of 66324

List of positive integer factors of 66324 that divides 66304 without a remainder.

1, 2, 3, 4, 6, 12, 5527, 11054, 16581, 22108, 33162

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66304 and 66324. The biggest common factor number is the GCF number.
So the greatest common factor 66304 and 66324 is 4.

Also check out the Least Common Multiple of 66304 and 66324