What is the Greatest Common Factor of 24016 and 24035?

Greatest common factor (GCF) of 24016 and 24035 is 19.

GCF(24016,24035) = 19

We will now calculate the prime factors of 24016 and 24035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24016 and 24035.

How to find the GCF of 24016 and 24035?

We will first find the prime factorization of 24016 and 24035. After we will calculate the factors of 24016 and 24035 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 24035

Prime factors of 24035 are 5, 11, 19, 23. Prime factorization of 24035 in exponential form is:

24035 = 5¹ × 11¹ × 19¹ × 23¹

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 24035

List of positive integer factors of 24035 that divides 24016 without a remainder.

1, 5, 11, 19, 23, 55, 95, 115, 209, 253, 437, 1045, 1265, 2185, 4807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24016 and 24035. The biggest common factor number is the GCF number.
So the greatest common factor 24016 and 24035 is 19.

Also check out the Least Common Multiple of 24016 and 24035