What is the Greatest Common Factor of 86469 and 86475?

Greatest common factor (GCF) of 86469 and 86475 is 3.

GCF(86469,86475) = 3

We will now calculate the prime factors of 86469 and 86475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86469 and 86475.

How to find the GCF of 86469 and 86475?

We will first find the prime factorization of 86469 and 86475. After we will calculate the factors of 86469 and 86475 and find the biggest common factor number .

Step-1: Prime Factorization of 86469

Prime factors of 86469 are 3, 19, 37, 41. Prime factorization of 86469 in exponential form is:

86469 = 3¹ × 19¹ × 37¹ × 41¹

Step-2: 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-3: Factors of 86469

List of positive integer factors of 86469 that divides 86469 without a remainder.

1, 3, 19, 37, 41, 57, 111, 123, 703, 779, 1517, 2109, 2337, 4551, 28823

Step-4: Factors of 86475

List of positive integer factors of 86475 that divides 86469 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86469 and 86475. The biggest common factor number is the GCF number.
So the greatest common factor 86469 and 86475 is 3.

Also check out the Least Common Multiple of 86469 and 86475