What is the Greatest Common Factor of 59090 and 59106?

Greatest common factor (GCF) of 59090 and 59106 is 2.

GCF(59090,59106) = 2

We will now calculate the prime factors of 59090 and 59106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59090 and 59106.

How to find the GCF of 59090 and 59106?

We will first find the prime factorization of 59090 and 59106. After we will calculate the factors of 59090 and 59106 and find the biggest common factor number .

Step-1: Prime Factorization of 59090

Prime factors of 59090 are 2, 5, 19, 311. Prime factorization of 59090 in exponential form is:

59090 = 2¹ × 5¹ × 19¹ × 311¹

Step-2: Prime Factorization of 59106

Prime factors of 59106 are 2, 3, 9851. Prime factorization of 59106 in exponential form is:

59106 = 2¹ × 3¹ × 9851¹

Step-3: Factors of 59090

List of positive integer factors of 59090 that divides 59090 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 311, 622, 1555, 3110, 5909, 11818, 29545

Step-4: Factors of 59106

List of positive integer factors of 59106 that divides 59090 without a remainder.

1, 2, 3, 6, 9851, 19702, 29553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59090 and 59106. The biggest common factor number is the GCF number.
So the greatest common factor 59090 and 59106 is 2.

Also check out the Least Common Multiple of 59090 and 59106