What is the Greatest Common Factor of 84785 and 84795?

Greatest common factor (GCF) of 84785 and 84795 is 5.

GCF(84785,84795) = 5

We will now calculate the prime factors of 84785 and 84795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84785 and 84795.

How to find the GCF of 84785 and 84795?

We will first find the prime factorization of 84785 and 84795. After we will calculate the factors of 84785 and 84795 and find the biggest common factor number .

Step-1: Prime Factorization of 84785

Prime factors of 84785 are 5, 31, 547. Prime factorization of 84785 in exponential form is:

84785 = 5¹ × 31¹ × 547¹

Step-2: Prime Factorization of 84795

Prime factors of 84795 are 3, 5, 5653. Prime factorization of 84795 in exponential form is:

84795 = 3¹ × 5¹ × 5653¹

Step-3: Factors of 84785

List of positive integer factors of 84785 that divides 84785 without a remainder.

1, 5, 31, 155, 547, 2735, 16957

Step-4: Factors of 84795

List of positive integer factors of 84795 that divides 84785 without a remainder.

1, 3, 5, 15, 5653, 16959, 28265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84785 and 84795. The biggest common factor number is the GCF number.
So the greatest common factor 84785 and 84795 is 5.

Also check out the Least Common Multiple of 84785 and 84795