What is the Greatest Common Factor of 59071 and 59090?

Greatest common factor (GCF) of 59071 and 59090 is 19.

GCF(59071,59090) = 19

We will now calculate the prime factors of 59071 and 59090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59071 and 59090.

How to find the GCF of 59071 and 59090?

We will first find the prime factorization of 59071 and 59090. After we will calculate the factors of 59071 and 59090 and find the biggest common factor number .

Step-1: Prime Factorization of 59071

Prime factors of 59071 are 19, 3109. Prime factorization of 59071 in exponential form is:

59071 = 19¹ × 3109¹

Step-2: 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-3: Factors of 59071

List of positive integer factors of 59071 that divides 59071 without a remainder.

1, 19, 3109

Step-4: Factors of 59090

List of positive integer factors of 59090 that divides 59071 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59071 and 59090. The biggest common factor number is the GCF number.
So the greatest common factor 59071 and 59090 is 19.

Also check out the Least Common Multiple of 59071 and 59090