What is the Greatest Common Factor of 72585 and 72590?

Greatest common factor (GCF) of 72585 and 72590 is 5.

GCF(72585,72590) = 5

We will now calculate the prime factors of 72585 and 72590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72585 and 72590.

How to find the GCF of 72585 and 72590?

We will first find the prime factorization of 72585 and 72590. After we will calculate the factors of 72585 and 72590 and find the biggest common factor number .

Step-1: Prime Factorization of 72585

Prime factors of 72585 are 3, 5, 1613. Prime factorization of 72585 in exponential form is:

72585 = 3² × 5¹ × 1613¹

Step-2: Prime Factorization of 72590

Prime factors of 72590 are 2, 5, 7, 17, 61. Prime factorization of 72590 in exponential form is:

72590 = 2¹ × 5¹ × 7¹ × 17¹ × 61¹

Step-3: Factors of 72585

List of positive integer factors of 72585 that divides 72585 without a remainder.

1, 3, 5, 9, 15, 45, 1613, 4839, 8065, 14517, 24195

Step-4: Factors of 72590

List of positive integer factors of 72590 that divides 72585 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 61, 70, 85, 119, 122, 170, 238, 305, 427, 595, 610, 854, 1037, 1190, 2074, 2135, 4270, 5185, 7259, 10370, 14518, 36295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72585 and 72590. The biggest common factor number is the GCF number.
So the greatest common factor 72585 and 72590 is 5.

Also check out the Least Common Multiple of 72585 and 72590