What is the Greatest Common Factor of 63072 and 63090?

Greatest common factor (GCF) of 63072 and 63090 is 18.

GCF(63072,63090) = 18

We will now calculate the prime factors of 63072 and 63090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63072 and 63090.

How to find the GCF of 63072 and 63090?

We will first find the prime factorization of 63072 and 63090. After we will calculate the factors of 63072 and 63090 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63090

Prime factors of 63090 are 2, 3, 5, 701. Prime factorization of 63090 in exponential form is:

63090 = 2¹ × 3² × 5¹ × 701¹

Step-3: Factors of 63072

List of positive integer factors of 63072 that divides 63072 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

Step-4: Factors of 63090

List of positive integer factors of 63090 that divides 63072 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 701, 1402, 2103, 3505, 4206, 6309, 7010, 10515, 12618, 21030, 31545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63072 and 63090. The biggest common factor number is the GCF number.
So the greatest common factor 63072 and 63090 is 18.

Also check out the Least Common Multiple of 63072 and 63090