What is the Greatest Common Factor of 85959 and 85965?

Greatest common factor (GCF) of 85959 and 85965 is 3.

GCF(85959,85965) = 3

We will now calculate the prime factors of 85959 and 85965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85959 and 85965.

How to find the GCF of 85959 and 85965?

We will first find the prime factorization of 85959 and 85965. After we will calculate the factors of 85959 and 85965 and find the biggest common factor number .

Step-1: Prime Factorization of 85959

Prime factors of 85959 are 3, 9551. Prime factorization of 85959 in exponential form is:

85959 = 3² × 9551¹

Step-2: Prime Factorization of 85965

Prime factors of 85965 are 3, 5, 11, 521. Prime factorization of 85965 in exponential form is:

85965 = 3¹ × 5¹ × 11¹ × 521¹

Step-3: Factors of 85959

List of positive integer factors of 85959 that divides 85959 without a remainder.

1, 3, 9, 9551, 28653

Step-4: Factors of 85965

List of positive integer factors of 85965 that divides 85959 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 521, 1563, 2605, 5731, 7815, 17193, 28655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85959 and 85965. The biggest common factor number is the GCF number.
So the greatest common factor 85959 and 85965 is 3.

Also check out the Least Common Multiple of 85959 and 85965