What is the Greatest Common Factor of 84692 and 84700?

Greatest common factor (GCF) of 84692 and 84700 is 4.

GCF(84692,84700) = 4

We will now calculate the prime factors of 84692 and 84700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84692 and 84700.

How to find the GCF of 84692 and 84700?

We will first find the prime factorization of 84692 and 84700. After we will calculate the factors of 84692 and 84700 and find the biggest common factor number .

Step-1: Prime Factorization of 84692

Prime factors of 84692 are 2, 31, 683. Prime factorization of 84692 in exponential form is:

84692 = 2² × 31¹ × 683¹

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 84692

List of positive integer factors of 84692 that divides 84692 without a remainder.

1, 2, 4, 31, 62, 124, 683, 1366, 2732, 21173, 42346

Step-4: Factors of 84700

List of positive integer factors of 84700 that divides 84692 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 84692 and 84700. The biggest common factor number is the GCF number.
So the greatest common factor 84692 and 84700 is 4.

Also check out the Least Common Multiple of 84692 and 84700