What is the Greatest Common Factor of 86580 and 86593?

Greatest common factor (GCF) of 86580 and 86593 is 13.

GCF(86580,86593) = 13

We will now calculate the prime factors of 86580 and 86593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86580 and 86593.

How to find the GCF of 86580 and 86593?

We will first find the prime factorization of 86580 and 86593. After we will calculate the factors of 86580 and 86593 and find the biggest common factor number .

Step-1: Prime Factorization of 86580

Prime factors of 86580 are 2, 3, 5, 13, 37. Prime factorization of 86580 in exponential form is:

86580 = 2² × 3² × 5¹ × 13¹ × 37¹

Step-2: Prime Factorization of 86593

Prime factors of 86593 are 13, 6661. Prime factorization of 86593 in exponential form is:

86593 = 13¹ × 6661¹

Step-3: Factors of 86580

List of positive integer factors of 86580 that divides 86580 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 37, 39, 45, 52, 60, 65, 74, 78, 90, 111, 117, 130, 148, 156, 180, 185, 195, 222, 234, 260, 333, 370, 390, 444, 468, 481, 555, 585, 666, 740, 780, 962, 1110, 1170, 1332, 1443, 1665, 1924, 2220, 2340, 2405, 2886, 3330, 4329, 4810, 5772, 6660, 7215, 8658, 9620, 14430, 17316, 21645, 28860, 43290

Step-4: Factors of 86593

List of positive integer factors of 86593 that divides 86580 without a remainder.

1, 13, 6661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86580 and 86593. The biggest common factor number is the GCF number.
So the greatest common factor 86580 and 86593 is 13.

Also check out the Least Common Multiple of 86580 and 86593