What is the Greatest Common Factor of 24038 and 24049?

Greatest common factor (GCF) of 24038 and 24049 is 1.

GCF(24038,24049) = 1

We will now calculate the prime factors of 24038 and 24049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24038 and 24049.

How to find the GCF of 24038 and 24049?

We will first find the prime factorization of 24038 and 24049. After we will calculate the factors of 24038 and 24049 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24049

Prime factors of 24049 are 24049. Prime factorization of 24049 in exponential form is:

24049 = 24049¹

Step-3: Factors of 24038

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

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

Step-4: Factors of 24049

List of positive integer factors of 24049 that divides 24038 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24038 and 24049. The biggest common factor number is the GCF number.
So the greatest common factor 24038 and 24049 is 1.

Also check out the Least Common Multiple of 24038 and 24049