What is the Greatest Common Factor of 85065 and 85077?

Greatest common factor (GCF) of 85065 and 85077 is 3.

GCF(85065,85077) = 3

We will now calculate the prime factors of 85065 and 85077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85065 and 85077.

How to find the GCF of 85065 and 85077?

We will first find the prime factorization of 85065 and 85077. After we will calculate the factors of 85065 and 85077 and find the biggest common factor number .

Step-1: Prime Factorization of 85065

Prime factors of 85065 are 3, 5, 53, 107. Prime factorization of 85065 in exponential form is:

85065 = 3¹ × 5¹ × 53¹ × 107¹

Step-2: Prime Factorization of 85077

Prime factors of 85077 are 3, 23, 137. Prime factorization of 85077 in exponential form is:

85077 = 3³ × 23¹ × 137¹

Step-3: Factors of 85065

List of positive integer factors of 85065 that divides 85065 without a remainder.

1, 3, 5, 15, 53, 107, 159, 265, 321, 535, 795, 1605, 5671, 17013, 28355

Step-4: Factors of 85077

List of positive integer factors of 85077 that divides 85065 without a remainder.

1, 3, 9, 23, 27, 69, 137, 207, 411, 621, 1233, 3151, 3699, 9453, 28359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85065 and 85077. The biggest common factor number is the GCF number.
So the greatest common factor 85065 and 85077 is 3.

Also check out the Least Common Multiple of 85065 and 85077