What is the Greatest Common Factor of 63024 and 63039?

Greatest common factor (GCF) of 63024 and 63039 is 3.

GCF(63024,63039) = 3

We will now calculate the prime factors of 63024 and 63039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63024 and 63039.

How to find the GCF of 63024 and 63039?

We will first find the prime factorization of 63024 and 63039. After we will calculate the factors of 63024 and 63039 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63039

Prime factors of 63039 are 3, 21013. Prime factorization of 63039 in exponential form is:

63039 = 3¹ × 21013¹

Step-3: Factors of 63024

List of positive integer factors of 63024 that divides 63024 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

Step-4: Factors of 63039

List of positive integer factors of 63039 that divides 63024 without a remainder.

1, 3, 21013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63024 and 63039. The biggest common factor number is the GCF number.
So the greatest common factor 63024 and 63039 is 3.

Also check out the Least Common Multiple of 63024 and 63039