What is the Greatest Common Factor of 86580 and 86590?

Greatest common factor (GCF) of 86580 and 86590 is 10.

GCF(86580,86590) = 10

We will now calculate the prime factors of 86580 and 86590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86580 and 86590.

How to find the GCF of 86580 and 86590?

We will first find the prime factorization of 86580 and 86590. After we will calculate the factors of 86580 and 86590 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 86590

Prime factors of 86590 are 2, 5, 7, 1237. Prime factorization of 86590 in exponential form is:

86590 = 2¹ × 5¹ × 7¹ × 1237¹

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 86590

List of positive integer factors of 86590 that divides 86580 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1237, 2474, 6185, 8659, 12370, 17318, 43295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86580 and 86590. The biggest common factor number is the GCF number.
So the greatest common factor 86580 and 86590 is 10.

Also check out the Least Common Multiple of 86580 and 86590