What is the Greatest Common Factor of 63066 and 63072?

Greatest common factor (GCF) of 63066 and 63072 is 6.

GCF(63066,63072) = 6

We will now calculate the prime factors of 63066 and 63072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63066 and 63072.

How to find the GCF of 63066 and 63072?

We will first find the prime factorization of 63066 and 63072. After we will calculate the factors of 63066 and 63072 and find the biggest common factor number .

Step-1: Prime Factorization of 63066

Prime factors of 63066 are 2, 3, 23, 457. Prime factorization of 63066 in exponential form is:

63066 = 2¹ × 3¹ × 23¹ × 457¹

Step-2: Prime Factorization of 63072

Prime factors of 63072 are 2, 3, 73. Prime factorization of 63072 in exponential form is:

63072 = 2⁵ × 3³ × 73¹

Step-3: Factors of 63066

List of positive integer factors of 63066 that divides 63066 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 457, 914, 1371, 2742, 10511, 21022, 31533

Step-4: Factors of 63072

List of positive integer factors of 63072 that divides 63066 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 73, 96, 108, 144, 146, 216, 219, 288, 292, 432, 438, 584, 657, 864, 876, 1168, 1314, 1752, 1971, 2336, 2628, 3504, 3942, 5256, 7008, 7884, 10512, 15768, 21024, 31536

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63066 and 63072. The biggest common factor number is the GCF number.
So the greatest common factor 63066 and 63072 is 6.

Also check out the Least Common Multiple of 63066 and 63072