What is the Greatest Common Factor of 84680 and 84700?

Greatest common factor (GCF) of 84680 and 84700 is 20.

GCF(84680,84700) = 20

We will now calculate the prime factors of 84680 and 84700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84680 and 84700.

How to find the GCF of 84680 and 84700?

We will first find the prime factorization of 84680 and 84700. After we will calculate the factors of 84680 and 84700 and find the biggest common factor number .

Step-1: Prime Factorization of 84680

Prime factors of 84680 are 2, 5, 29, 73. Prime factorization of 84680 in exponential form is:

84680 = 2³ × 5¹ × 29¹ × 73¹

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 84680

List of positive integer factors of 84680 that divides 84680 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 73, 116, 145, 146, 232, 290, 292, 365, 580, 584, 730, 1160, 1460, 2117, 2920, 4234, 8468, 10585, 16936, 21170, 42340

Step-4: Factors of 84700

List of positive integer factors of 84700 that divides 84680 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 84680 and 84700. The biggest common factor number is the GCF number.
So the greatest common factor 84680 and 84700 is 20.

Also check out the Least Common Multiple of 84680 and 84700