What is the Greatest Common Factor of 86535 and 86555?

Greatest common factor (GCF) of 86535 and 86555 is 5.

GCF(86535,86555) = 5

We will now calculate the prime factors of 86535 and 86555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86535 and 86555.

How to find the GCF of 86535 and 86555?

We will first find the prime factorization of 86535 and 86555. After we will calculate the factors of 86535 and 86555 and find the biggest common factor number .

Step-1: Prime Factorization of 86535

Prime factors of 86535 are 3, 5, 641. Prime factorization of 86535 in exponential form is:

86535 = 3³ × 5¹ × 641¹

Step-2: Prime Factorization of 86555

Prime factors of 86555 are 5, 7, 2473. Prime factorization of 86555 in exponential form is:

86555 = 5¹ × 7¹ × 2473¹

Step-3: Factors of 86535

List of positive integer factors of 86535 that divides 86535 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 641, 1923, 3205, 5769, 9615, 17307, 28845

Step-4: Factors of 86555

List of positive integer factors of 86555 that divides 86535 without a remainder.

1, 5, 7, 35, 2473, 12365, 17311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86535 and 86555. The biggest common factor number is the GCF number.
So the greatest common factor 86535 and 86555 is 5.

Also check out the Least Common Multiple of 86535 and 86555