What is the Greatest Common Factor of 15050 and 15070?

Greatest common factor (GCF) of 15050 and 15070 is 10.

GCF(15050,15070) = 10

We will now calculate the prime factors of 15050 and 15070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15050 and 15070.

How to find the GCF of 15050 and 15070?

We will first find the prime factorization of 15050 and 15070. After we will calculate the factors of 15050 and 15070 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15070

Prime factors of 15070 are 2, 5, 11, 137. Prime factorization of 15070 in exponential form is:

15070 = 2¹ × 5¹ × 11¹ × 137¹

Step-3: Factors of 15050

List of positive integer factors of 15050 that divides 15050 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

Step-4: Factors of 15070

List of positive integer factors of 15070 that divides 15050 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 137, 274, 685, 1370, 1507, 3014, 7535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15050 and 15070. The biggest common factor number is the GCF number.
So the greatest common factor 15050 and 15070 is 10.

Also check out the Least Common Multiple of 15050 and 15070