What is the Greatest Common Factor of 86605 and 86620?

Greatest common factor (GCF) of 86605 and 86620 is 5.

GCF(86605,86620) = 5

We will now calculate the prime factors of 86605 and 86620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86605 and 86620.

How to find the GCF of 86605 and 86620?

We will first find the prime factorization of 86605 and 86620. After we will calculate the factors of 86605 and 86620 and find the biggest common factor number .

Step-1: Prime Factorization of 86605

Prime factors of 86605 are 5, 17321. Prime factorization of 86605 in exponential form is:

86605 = 5¹ × 17321¹

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 86605

List of positive integer factors of 86605 that divides 86605 without a remainder.

1, 5, 17321

Step-4: Factors of 86620

List of positive integer factors of 86620 that divides 86605 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 86605 and 86620. The biggest common factor number is the GCF number.
So the greatest common factor 86605 and 86620 is 5.

Also check out the Least Common Multiple of 86605 and 86620