What is the Greatest Common Factor of 24016 and 24032?

Greatest common factor (GCF) of 24016 and 24032 is 16.

GCF(24016,24032) = 16

We will now calculate the prime factors of 24016 and 24032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24016 and 24032.

How to find the GCF of 24016 and 24032?

We will first find the prime factorization of 24016 and 24032. After we will calculate the factors of 24016 and 24032 and find the biggest common factor number .

Step-1: Prime Factorization of 24016

Prime factors of 24016 are 2, 19, 79. Prime factorization of 24016 in exponential form is:

24016 = 2⁴ × 19¹ × 79¹

Step-2: Prime Factorization of 24032

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

24032 = 2⁵ × 751¹

Step-3: Factors of 24016

List of positive integer factors of 24016 that divides 24016 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 79, 152, 158, 304, 316, 632, 1264, 1501, 3002, 6004, 12008

Step-4: Factors of 24032

List of positive integer factors of 24032 that divides 24016 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24016 and 24032. The biggest common factor number is the GCF number.
So the greatest common factor 24016 and 24032 is 16.

Also check out the Least Common Multiple of 24016 and 24032