What is the Greatest Common Factor of 59090 and 59107?

Greatest common factor (GCF) of 59090 and 59107 is 1.

GCF(59090,59107) = 1

We will now calculate the prime factors of 59090 and 59107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59090 and 59107.

How to find the GCF of 59090 and 59107?

We will first find the prime factorization of 59090 and 59107. After we will calculate the factors of 59090 and 59107 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 59107

Prime factors of 59107 are 59107. Prime factorization of 59107 in exponential form is:

59107 = 59107¹

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 59107

List of positive integer factors of 59107 that divides 59090 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59090 and 59107. The biggest common factor number is the GCF number.
So the greatest common factor 59090 and 59107 is 1.

Also check out the Least Common Multiple of 59090 and 59107