What is the Greatest Common Factor of 86525 and 86535?

Greatest common factor (GCF) of 86525 and 86535 is 5.

GCF(86525,86535) = 5

We will now calculate the prime factors of 86525 and 86535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86525 and 86535.

How to find the GCF of 86525 and 86535?

We will first find the prime factorization of 86525 and 86535. After we will calculate the factors of 86525 and 86535 and find the biggest common factor number .

Step-1: Prime Factorization of 86525

Prime factors of 86525 are 5, 3461. Prime factorization of 86525 in exponential form is:

86525 = 5² × 3461¹

Step-2: 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-3: Factors of 86525

List of positive integer factors of 86525 that divides 86525 without a remainder.

1, 5, 25, 3461, 17305

Step-4: Factors of 86535

List of positive integer factors of 86535 that divides 86525 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86525 and 86535. The biggest common factor number is the GCF number.
So the greatest common factor 86525 and 86535 is 5.

Also check out the Least Common Multiple of 86525 and 86535