What is the Greatest Common Factor of 63024 and 63038?

Greatest common factor (GCF) of 63024 and 63038 is 2.

GCF(63024,63038) = 2

We will now calculate the prime factors of 63024 and 63038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63024 and 63038.

How to find the GCF of 63024 and 63038?

We will first find the prime factorization of 63024 and 63038. After we will calculate the factors of 63024 and 63038 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 63038

Prime factors of 63038 are 2, 43, 733. Prime factorization of 63038 in exponential form is:

63038 = 2¹ × 43¹ × 733¹

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 63038

List of positive integer factors of 63038 that divides 63024 without a remainder.

1, 2, 43, 86, 733, 1466, 31519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63024 and 63038. The biggest common factor number is the GCF number.
So the greatest common factor 63024 and 63038 is 2.

Also check out the Least Common Multiple of 63024 and 63038