What is the Greatest Common Factor of 15038 and 15052?

Greatest common factor (GCF) of 15038 and 15052 is 2.

GCF(15038,15052) = 2

We will now calculate the prime factors of 15038 and 15052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15038 and 15052.

How to find the GCF of 15038 and 15052?

We will first find the prime factorization of 15038 and 15052. After we will calculate the factors of 15038 and 15052 and find the biggest common factor number .

Step-1: Prime Factorization of 15038

Prime factors of 15038 are 2, 73, 103. Prime factorization of 15038 in exponential form is:

15038 = 2¹ × 73¹ × 103¹

Step-2: Prime Factorization of 15052

Prime factors of 15052 are 2, 53, 71. Prime factorization of 15052 in exponential form is:

15052 = 2² × 53¹ × 71¹

Step-3: Factors of 15038

List of positive integer factors of 15038 that divides 15038 without a remainder.

1, 2, 73, 103, 146, 206, 7519

Step-4: Factors of 15052

List of positive integer factors of 15052 that divides 15038 without a remainder.

1, 2, 4, 53, 71, 106, 142, 212, 284, 3763, 7526

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15038 and 15052. The biggest common factor number is the GCF number.
So the greatest common factor 15038 and 15052 is 2.

Also check out the Least Common Multiple of 15038 and 15052