What is the Greatest Common Factor of 24021 and 24038?

Greatest common factor (GCF) of 24021 and 24038 is 17.

GCF(24021,24038) = 17

We will now calculate the prime factors of 24021 and 24038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24021 and 24038.

How to find the GCF of 24021 and 24038?

We will first find the prime factorization of 24021 and 24038. After we will calculate the factors of 24021 and 24038 and find the biggest common factor number .

Step-1: Prime Factorization of 24021

Prime factors of 24021 are 3, 17, 157. Prime factorization of 24021 in exponential form is:

24021 = 3² × 17¹ × 157¹

Step-2: Prime Factorization of 24038

Prime factors of 24038 are 2, 7, 17, 101. Prime factorization of 24038 in exponential form is:

24038 = 2¹ × 7¹ × 17¹ × 101¹

Step-3: Factors of 24021

List of positive integer factors of 24021 that divides 24021 without a remainder.

1, 3, 9, 17, 51, 153, 157, 471, 1413, 2669, 8007

Step-4: Factors of 24038

List of positive integer factors of 24038 that divides 24021 without a remainder.

1, 2, 7, 14, 17, 34, 101, 119, 202, 238, 707, 1414, 1717, 3434, 12019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24021 and 24038. The biggest common factor number is the GCF number.
So the greatest common factor 24021 and 24038 is 17.

Also check out the Least Common Multiple of 24021 and 24038