What is the Greatest Common Factor of 86600 and 86620?

Greatest common factor (GCF) of 86600 and 86620 is 20.

GCF(86600,86620) = 20

We will now calculate the prime factors of 86600 and 86620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86600 and 86620.

How to find the GCF of 86600 and 86620?

We will first find the prime factorization of 86600 and 86620. After we will calculate the factors of 86600 and 86620 and find the biggest common factor number .

Step-1: Prime Factorization of 86600

Prime factors of 86600 are 2, 5, 433. Prime factorization of 86600 in exponential form is:

86600 = 2³ × 5² × 433¹

Step-2: Prime Factorization of 86620

Prime factors of 86620 are 2, 5, 61, 71. Prime factorization of 86620 in exponential form is:

86620 = 2² × 5¹ × 61¹ × 71¹

Step-3: Factors of 86600

List of positive integer factors of 86600 that divides 86600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 433, 866, 1732, 2165, 3464, 4330, 8660, 10825, 17320, 21650, 43300

Step-4: Factors of 86620

List of positive integer factors of 86620 that divides 86600 without a remainder.

1, 2, 4, 5, 10, 20, 61, 71, 122, 142, 244, 284, 305, 355, 610, 710, 1220, 1420, 4331, 8662, 17324, 21655, 43310

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86600 and 86620. The biggest common factor number is the GCF number.
So the greatest common factor 86600 and 86620 is 20.

Also check out the Least Common Multiple of 86600 and 86620