What is the Greatest Common Factor of 24032 and 24048?

Greatest common factor (GCF) of 24032 and 24048 is 16.

GCF(24032,24048) = 16

We will now calculate the prime factors of 24032 and 24048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24032 and 24048.

How to find the GCF of 24032 and 24048?

We will first find the prime factorization of 24032 and 24048. After we will calculate the factors of 24032 and 24048 and find the biggest common factor number .

Step-1: Prime Factorization of 24032

Prime factors of 24032 are 2, 751. Prime factorization of 24032 in exponential form is:

24032 = 2⁵ × 751¹

Step-2: Prime Factorization of 24048

Prime factors of 24048 are 2, 3, 167. Prime factorization of 24048 in exponential form is:

24048 = 2⁴ × 3² × 167¹

Step-3: Factors of 24032

List of positive integer factors of 24032 that divides 24032 without a remainder.

1, 2, 4, 8, 16, 32, 751, 1502, 3004, 6008, 12016

Step-4: Factors of 24048

List of positive integer factors of 24048 that divides 24032 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 167, 334, 501, 668, 1002, 1336, 1503, 2004, 2672, 3006, 4008, 6012, 8016, 12024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24032 and 24048. The biggest common factor number is the GCF number.
So the greatest common factor 24032 and 24048 is 16.

Also check out the Least Common Multiple of 24032 and 24048