What is the Greatest Common Factor of 15038 and 15050?

Greatest common factor (GCF) of 15038 and 15050 is 2.

GCF(15038,15050) = 2

We will now calculate the prime factors of 15038 and 15050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15038 and 15050.

How to find the GCF of 15038 and 15050?

We will first find the prime factorization of 15038 and 15050. After we will calculate the factors of 15038 and 15050 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 15050

Prime factors of 15050 are 2, 5, 7, 43. Prime factorization of 15050 in exponential form is:

15050 = 2¹ × 5² × 7¹ × 43¹

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 15050

List of positive integer factors of 15050 that divides 15038 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 43, 50, 70, 86, 175, 215, 301, 350, 430, 602, 1075, 1505, 2150, 3010, 7525

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15038 and 15050. The biggest common factor number is the GCF number.
So the greatest common factor 15038 and 15050 is 2.

Also check out the Least Common Multiple of 15038 and 15050