What is the Greatest Common Factor of 59076 and 59085?

Greatest common factor (GCF) of 59076 and 59085 is 9.

GCF(59076,59085) = 9

We will now calculate the prime factors of 59076 and 59085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59076 and 59085.

How to find the GCF of 59076 and 59085?

We will first find the prime factorization of 59076 and 59085. After we will calculate the factors of 59076 and 59085 and find the biggest common factor number .

Step-1: Prime Factorization of 59076

Prime factors of 59076 are 2, 3, 547. Prime factorization of 59076 in exponential form is:

59076 = 2² × 3³ × 547¹

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 59076

List of positive integer factors of 59076 that divides 59076 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 547, 1094, 1641, 2188, 3282, 4923, 6564, 9846, 14769, 19692, 29538

Step-4: Factors of 59085

List of positive integer factors of 59085 that divides 59076 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 59076 and 59085. The biggest common factor number is the GCF number.
So the greatest common factor 59076 and 59085 is 9.

Also check out the Least Common Multiple of 59076 and 59085