What is the Greatest Common Factor of 84686 and 84700?

Greatest common factor (GCF) of 84686 and 84700 is 14.

GCF(84686,84700) = 14

We will now calculate the prime factors of 84686 and 84700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84686 and 84700.

How to find the GCF of 84686 and 84700?

We will first find the prime factorization of 84686 and 84700. After we will calculate the factors of 84686 and 84700 and find the biggest common factor number .

Step-1: Prime Factorization of 84686

Prime factors of 84686 are 2, 7, 23, 263. Prime factorization of 84686 in exponential form is:

84686 = 2¹ × 7¹ × 23¹ × 263¹

Step-2: Prime Factorization of 84700

Prime factors of 84700 are 2, 5, 7, 11. Prime factorization of 84700 in exponential form is:

84700 = 2² × 5² × 7¹ × 11²

Step-3: Factors of 84686

List of positive integer factors of 84686 that divides 84686 without a remainder.

1, 2, 7, 14, 23, 46, 161, 263, 322, 526, 1841, 3682, 6049, 12098, 42343

Step-4: Factors of 84700

List of positive integer factors of 84700 that divides 84686 without a remainder.

1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 25, 28, 35, 44, 50, 55, 70, 77, 100, 110, 121, 140, 154, 175, 220, 242, 275, 308, 350, 385, 484, 550, 605, 700, 770, 847, 1100, 1210, 1540, 1694, 1925, 2420, 3025, 3388, 3850, 4235, 6050, 7700, 8470, 12100, 16940, 21175, 42350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84686 and 84700. The biggest common factor number is the GCF number.
So the greatest common factor 84686 and 84700 is 14.

Also check out the Least Common Multiple of 84686 and 84700