What is the Greatest Common Factor of 24038 and 24052?

Greatest common factor (GCF) of 24038 and 24052 is 14.

GCF(24038,24052) = 14

We will now calculate the prime factors of 24038 and 24052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24038 and 24052.

How to find the GCF of 24038 and 24052?

We will first find the prime factorization of 24038 and 24052. After we will calculate the factors of 24038 and 24052 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 24052

Prime factors of 24052 are 2, 7, 859. Prime factorization of 24052 in exponential form is:

24052 = 2² × 7¹ × 859¹

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 24052

List of positive integer factors of 24052 that divides 24038 without a remainder.

1, 2, 4, 7, 14, 28, 859, 1718, 3436, 6013, 12026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24038 and 24052. The biggest common factor number is the GCF number.
So the greatest common factor 24038 and 24052 is 14.

Also check out the Least Common Multiple of 24038 and 24052