What is the Greatest Common Factor of 82670 and 82690?

Greatest common factor (GCF) of 82670 and 82690 is 10.

GCF(82670,82690) = 10

We will now calculate the prime factors of 82670 and 82690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82670 and 82690.

How to find the GCF of 82670 and 82690?

We will first find the prime factorization of 82670 and 82690. After we will calculate the factors of 82670 and 82690 and find the biggest common factor number .

Step-1: Prime Factorization of 82670

Prime factors of 82670 are 2, 5, 7, 1181. Prime factorization of 82670 in exponential form is:

82670 = 2¹ × 5¹ × 7¹ × 1181¹

Step-2: Prime Factorization of 82690

Prime factors of 82690 are 2, 5, 8269. Prime factorization of 82690 in exponential form is:

82690 = 2¹ × 5¹ × 8269¹

Step-3: Factors of 82670

List of positive integer factors of 82670 that divides 82670 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1181, 2362, 5905, 8267, 11810, 16534, 41335

Step-4: Factors of 82690

List of positive integer factors of 82690 that divides 82670 without a remainder.

1, 2, 5, 10, 8269, 16538, 41345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82670 and 82690. The biggest common factor number is the GCF number.
So the greatest common factor 82670 and 82690 is 10.

Also check out the Least Common Multiple of 82670 and 82690