What is the Greatest Common Factor of 59070 and 59081?

Greatest common factor (GCF) of 59070 and 59081 is 11.

GCF(59070,59081) = 11

We will now calculate the prime factors of 59070 and 59081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59070 and 59081.

How to find the GCF of 59070 and 59081?

We will first find the prime factorization of 59070 and 59081. After we will calculate the factors of 59070 and 59081 and find the biggest common factor number .

Step-1: Prime Factorization of 59070

Prime factors of 59070 are 2, 3, 5, 11, 179. Prime factorization of 59070 in exponential form is:

59070 = 2¹ × 3¹ × 5¹ × 11¹ × 179¹

Step-2: Prime Factorization of 59081

Prime factors of 59081 are 11, 41, 131. Prime factorization of 59081 in exponential form is:

59081 = 11¹ × 41¹ × 131¹

Step-3: Factors of 59070

List of positive integer factors of 59070 that divides 59070 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 179, 330, 358, 537, 895, 1074, 1790, 1969, 2685, 3938, 5370, 5907, 9845, 11814, 19690, 29535

Step-4: Factors of 59081

List of positive integer factors of 59081 that divides 59070 without a remainder.

1, 11, 41, 131, 451, 1441, 5371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59070 and 59081. The biggest common factor number is the GCF number.
So the greatest common factor 59070 and 59081 is 11.

Also check out the Least Common Multiple of 59070 and 59081