What is the Greatest Common Factor of 84700 and 84710?

Greatest common factor (GCF) of 84700 and 84710 is 10.

GCF(84700,84710) = 10

We will now calculate the prime factors of 84700 and 84710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84700 and 84710.

How to find the GCF of 84700 and 84710?

We will first find the prime factorization of 84700 and 84710. After we will calculate the factors of 84700 and 84710 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84710

Prime factors of 84710 are 2, 5, 43, 197. Prime factorization of 84710 in exponential form is:

84710 = 2¹ × 5¹ × 43¹ × 197¹

Step-3: Factors of 84700

List of positive integer factors of 84700 that divides 84700 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

Step-4: Factors of 84710

List of positive integer factors of 84710 that divides 84700 without a remainder.

1, 2, 5, 10, 43, 86, 197, 215, 394, 430, 985, 1970, 8471, 16942, 42355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84700 and 84710. The biggest common factor number is the GCF number.
So the greatest common factor 84700 and 84710 is 10.

Also check out the Least Common Multiple of 84700 and 84710