What is the Greatest Common Factor of 86475 and 86485?

Greatest common factor (GCF) of 86475 and 86485 is 5.

GCF(86475,86485) = 5

We will now calculate the prime factors of 86475 and 86485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86475 and 86485.

How to find the GCF of 86475 and 86485?

We will first find the prime factorization of 86475 and 86485. After we will calculate the factors of 86475 and 86485 and find the biggest common factor number .

Step-1: Prime Factorization of 86475

Prime factors of 86475 are 3, 5, 1153. Prime factorization of 86475 in exponential form is:

86475 = 3¹ × 5² × 1153¹

Step-2: Prime Factorization of 86485

Prime factors of 86485 are 5, 7, 353. Prime factorization of 86485 in exponential form is:

86485 = 5¹ × 7² × 353¹

Step-3: Factors of 86475

List of positive integer factors of 86475 that divides 86475 without a remainder.

1, 3, 5, 15, 25, 75, 1153, 3459, 5765, 17295, 28825

Step-4: Factors of 86485

List of positive integer factors of 86485 that divides 86475 without a remainder.

1, 5, 7, 35, 49, 245, 353, 1765, 2471, 12355, 17297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86475 and 86485. The biggest common factor number is the GCF number.
So the greatest common factor 86475 and 86485 is 5.

Also check out the Least Common Multiple of 86475 and 86485