What is the Greatest Common Factor of 84785 and 84801?

Greatest common factor (GCF) of 84785 and 84801 is 1.

GCF(84785,84801) = 1

We will now calculate the prime factors of 84785 and 84801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84785 and 84801.

How to find the GCF of 84785 and 84801?

We will first find the prime factorization of 84785 and 84801. After we will calculate the factors of 84785 and 84801 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 84801

Prime factors of 84801 are 3, 23, 1229. Prime factorization of 84801 in exponential form is:

84801 = 3¹ × 23¹ × 1229¹

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 84801

List of positive integer factors of 84801 that divides 84785 without a remainder.

1, 3, 23, 69, 1229, 3687, 28267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84785 and 84801. The biggest common factor number is the GCF number.
So the greatest common factor 84785 and 84801 is 1.

Also check out the Least Common Multiple of 84785 and 84801