What is the Greatest Common Factor of 59085 and 59104?

Greatest common factor (GCF) of 59085 and 59104 is 1.

GCF(59085,59104) = 1

We will now calculate the prime factors of 59085 and 59104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59085 and 59104.

How to find the GCF of 59085 and 59104?

We will first find the prime factorization of 59085 and 59104. After we will calculate the factors of 59085 and 59104 and find the biggest common factor number .

Step-1: Prime Factorization of 59085

Prime factors of 59085 are 3, 5, 13, 101. Prime factorization of 59085 in exponential form is:

59085 = 3² × 5¹ × 13¹ × 101¹

Step-2: Prime Factorization of 59104

Prime factors of 59104 are 2, 1847. Prime factorization of 59104 in exponential form is:

59104 = 2⁵ × 1847¹

Step-3: Factors of 59085

List of positive integer factors of 59085 that divides 59085 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 101, 117, 195, 303, 505, 585, 909, 1313, 1515, 3939, 4545, 6565, 11817, 19695

Step-4: Factors of 59104

List of positive integer factors of 59104 that divides 59085 without a remainder.

1, 2, 4, 8, 16, 32, 1847, 3694, 7388, 14776, 29552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59085 and 59104. The biggest common factor number is the GCF number.
So the greatest common factor 59085 and 59104 is 1.

Also check out the Least Common Multiple of 59085 and 59104