What is the Greatest Common Factor of 63009 and 63024?

Greatest common factor (GCF) of 63009 and 63024 is 3.

GCF(63009,63024) = 3

We will now calculate the prime factors of 63009 and 63024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63009 and 63024.

How to find the GCF of 63009 and 63024?

We will first find the prime factorization of 63009 and 63024. After we will calculate the factors of 63009 and 63024 and find the biggest common factor number .

Step-1: Prime Factorization of 63009

Prime factors of 63009 are 3, 7001. Prime factorization of 63009 in exponential form is:

63009 = 3² × 7001¹

Step-2: Prime Factorization of 63024

Prime factors of 63024 are 2, 3, 13, 101. Prime factorization of 63024 in exponential form is:

63024 = 2⁴ × 3¹ × 13¹ × 101¹

Step-3: Factors of 63009

List of positive integer factors of 63009 that divides 63009 without a remainder.

1, 3, 9, 7001, 21003

Step-4: Factors of 63024

List of positive integer factors of 63024 that divides 63009 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 101, 104, 156, 202, 208, 303, 312, 404, 606, 624, 808, 1212, 1313, 1616, 2424, 2626, 3939, 4848, 5252, 7878, 10504, 15756, 21008, 31512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63009 and 63024. The biggest common factor number is the GCF number.
So the greatest common factor 63009 and 63024 is 3.

Also check out the Least Common Multiple of 63009 and 63024