What is the Greatest Common Factor of 84772 and 84785?

Greatest common factor (GCF) of 84772 and 84785 is 1.

GCF(84772,84785) = 1

We will now calculate the prime factors of 84772 and 84785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84772 and 84785.

How to find the GCF of 84772 and 84785?

We will first find the prime factorization of 84772 and 84785. After we will calculate the factors of 84772 and 84785 and find the biggest common factor number .

Step-1: Prime Factorization of 84772

Prime factors of 84772 are 2, 21193. Prime factorization of 84772 in exponential form is:

84772 = 2² × 21193¹

Step-2: 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-3: Factors of 84772

List of positive integer factors of 84772 that divides 84772 without a remainder.

1, 2, 4, 21193, 42386

Step-4: Factors of 84785

List of positive integer factors of 84785 that divides 84772 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84772 and 84785. The biggest common factor number is the GCF number.
So the greatest common factor 84772 and 84785 is 1.

Also check out the Least Common Multiple of 84772 and 84785