What is the Greatest Common Factor of 86575 and 86580?

Greatest common factor (GCF) of 86575 and 86580 is 5.

GCF(86575,86580) = 5

We will now calculate the prime factors of 86575 and 86580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86575 and 86580.

How to find the GCF of 86575 and 86580?

We will first find the prime factorization of 86575 and 86580. After we will calculate the factors of 86575 and 86580 and find the biggest common factor number .

Step-1: Prime Factorization of 86575

Prime factors of 86575 are 5, 3463. Prime factorization of 86575 in exponential form is:

86575 = 5² × 3463¹

Step-2: 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-3: Factors of 86575

List of positive integer factors of 86575 that divides 86575 without a remainder.

1, 5, 25, 3463, 17315

Step-4: Factors of 86580

List of positive integer factors of 86580 that divides 86575 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86575 and 86580. The biggest common factor number is the GCF number.
So the greatest common factor 86575 and 86580 is 5.

Also check out the Least Common Multiple of 86575 and 86580