What is the Greatest Common Factor of 82090 and 82106?

Greatest common factor (GCF) of 82090 and 82106 is 2.

GCF(82090,82106) = 2

We will now calculate the prime factors of 82090 and 82106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82090 and 82106.

How to find the GCF of 82090 and 82106?

We will first find the prime factorization of 82090 and 82106. After we will calculate the factors of 82090 and 82106 and find the biggest common factor number .

Step-1: Prime Factorization of 82090

Prime factors of 82090 are 2, 5, 8209. Prime factorization of 82090 in exponential form is:

82090 = 2¹ × 5¹ × 8209¹

Step-2: Prime Factorization of 82106

Prime factors of 82106 are 2, 61, 673. Prime factorization of 82106 in exponential form is:

82106 = 2¹ × 61¹ × 673¹

Step-3: Factors of 82090

List of positive integer factors of 82090 that divides 82090 without a remainder.

1, 2, 5, 10, 8209, 16418, 41045

Step-4: Factors of 82106

List of positive integer factors of 82106 that divides 82090 without a remainder.

1, 2, 61, 122, 673, 1346, 41053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82090 and 82106. The biggest common factor number is the GCF number.
So the greatest common factor 82090 and 82106 is 2.

Also check out the Least Common Multiple of 82090 and 82106