What is the Greatest Common Factor of 86620 and 86624?

Greatest common factor (GCF) of 86620 and 86624 is 4.

GCF(86620,86624) = 4

We will now calculate the prime factors of 86620 and 86624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86620 and 86624.

How to find the GCF of 86620 and 86624?

We will first find the prime factorization of 86620 and 86624. After we will calculate the factors of 86620 and 86624 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 86624

Prime factors of 86624 are 2, 2707. Prime factorization of 86624 in exponential form is:

86624 = 2⁵ × 2707¹

Step-3: Factors of 86620

List of positive integer factors of 86620 that divides 86620 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

Step-4: Factors of 86624

List of positive integer factors of 86624 that divides 86620 without a remainder.

1, 2, 4, 8, 16, 32, 2707, 5414, 10828, 21656, 43312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86620 and 86624. The biggest common factor number is the GCF number.
So the greatest common factor 86620 and 86624 is 4.

Also check out the Least Common Multiple of 86620 and 86624