What is the Greatest Common Factor of 85047 and 85065?

Greatest common factor (GCF) of 85047 and 85065 is 3.

GCF(85047,85065) = 3

We will now calculate the prime factors of 85047 and 85065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85047 and 85065.

How to find the GCF of 85047 and 85065?

We will first find the prime factorization of 85047 and 85065. After we will calculate the factors of 85047 and 85065 and find the biggest common factor number .

Step-1: Prime Factorization of 85047

Prime factors of 85047 are 3, 28349. Prime factorization of 85047 in exponential form is:

85047 = 3¹ × 28349¹

Step-2: 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-3: Factors of 85047

List of positive integer factors of 85047 that divides 85047 without a remainder.

1, 3, 28349

Step-4: Factors of 85065

List of positive integer factors of 85065 that divides 85047 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85047 and 85065. The biggest common factor number is the GCF number.
So the greatest common factor 85047 and 85065 is 3.

Also check out the Least Common Multiple of 85047 and 85065