What is the Greatest Common Factor of 84770 and 84785?

Greatest common factor (GCF) of 84770 and 84785 is 5.

GCF(84770,84785) = 5

We will now calculate the prime factors of 84770 and 84785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84770 and 84785.

How to find the GCF of 84770 and 84785?

We will first find the prime factorization of 84770 and 84785. After we will calculate the factors of 84770 and 84785 and find the biggest common factor number .

Step-1: Prime Factorization of 84770

Prime factors of 84770 are 2, 5, 7, 173. Prime factorization of 84770 in exponential form is:

84770 = 2¹ × 5¹ × 7² × 173¹

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 84770

List of positive integer factors of 84770 that divides 84770 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 173, 245, 346, 490, 865, 1211, 1730, 2422, 6055, 8477, 12110, 16954, 42385

Step-4: Factors of 84785

List of positive integer factors of 84785 that divides 84770 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84770 and 84785. The biggest common factor number is the GCF number.
So the greatest common factor 84770 and 84785 is 5.

Also check out the Least Common Multiple of 84770 and 84785