What is the Greatest Common Factor of 86610 and 86620?

Greatest common factor (GCF) of 86610 and 86620 is 10.

GCF(86610,86620) = 10

We will now calculate the prime factors of 86610 and 86620, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86610 and 86620.

How to find the GCF of 86610 and 86620?

We will first find the prime factorization of 86610 and 86620. After we will calculate the factors of 86610 and 86620 and find the biggest common factor number .

Step-1: Prime Factorization of 86610

Prime factors of 86610 are 2, 3, 5, 2887. Prime factorization of 86610 in exponential form is:

86610 = 2¹ × 3¹ × 5¹ × 2887¹

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 86610

List of positive integer factors of 86610 that divides 86610 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2887, 5774, 8661, 14435, 17322, 28870, 43305

Step-4: Factors of 86620

List of positive integer factors of 86620 that divides 86610 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 86610 and 86620. The biggest common factor number is the GCF number.
So the greatest common factor 86610 and 86620 is 10.

Also check out the Least Common Multiple of 86610 and 86620