What is the Greatest Common Factor of 59079 and 59085?

Greatest common factor (GCF) of 59079 and 59085 is 3.

GCF(59079,59085) = 3

We will now calculate the prime factors of 59079 and 59085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59079 and 59085.

How to find the GCF of 59079 and 59085?

We will first find the prime factorization of 59079 and 59085. After we will calculate the factors of 59079 and 59085 and find the biggest common factor number .

Step-1: Prime Factorization of 59079

Prime factors of 59079 are 3, 47, 419. Prime factorization of 59079 in exponential form is:

59079 = 3¹ × 47¹ × 419¹

Step-2: 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-3: Factors of 59079

List of positive integer factors of 59079 that divides 59079 without a remainder.

1, 3, 47, 141, 419, 1257, 19693

Step-4: Factors of 59085

List of positive integer factors of 59085 that divides 59079 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59079 and 59085. The biggest common factor number is the GCF number.
So the greatest common factor 59079 and 59085 is 3.

Also check out the Least Common Multiple of 59079 and 59085