What is the Greatest Common Factor of 15059 and 15070?

Greatest common factor (GCF) of 15059 and 15070 is 11.

GCF(15059,15070) = 11

We will now calculate the prime factors of 15059 and 15070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15059 and 15070.

How to find the GCF of 15059 and 15070?

We will first find the prime factorization of 15059 and 15070. After we will calculate the factors of 15059 and 15070 and find the biggest common factor number .

Step-1: Prime Factorization of 15059

Prime factors of 15059 are 11, 37. Prime factorization of 15059 in exponential form is:

15059 = 11¹ × 37²

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 15059

List of positive integer factors of 15059 that divides 15059 without a remainder.

1, 11, 37, 407, 1369

Step-4: Factors of 15070

List of positive integer factors of 15070 that divides 15059 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 15059 and 15070. The biggest common factor number is the GCF number.
So the greatest common factor 15059 and 15070 is 11.

Also check out the Least Common Multiple of 15059 and 15070