What is the Greatest Common Factor of 82072 and 82090?

Greatest common factor (GCF) of 82072 and 82090 is 2.

GCF(82072,82090) = 2

We will now calculate the prime factors of 82072 and 82090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82072 and 82090.

How to find the GCF of 82072 and 82090?

We will first find the prime factorization of 82072 and 82090. After we will calculate the factors of 82072 and 82090 and find the biggest common factor number .

Step-1: Prime Factorization of 82072

Prime factors of 82072 are 2, 10259. Prime factorization of 82072 in exponential form is:

82072 = 2³ × 10259¹

Step-2: 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-3: Factors of 82072

List of positive integer factors of 82072 that divides 82072 without a remainder.

1, 2, 4, 8, 10259, 20518, 41036

Step-4: Factors of 82090

List of positive integer factors of 82090 that divides 82072 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82072 and 82090. The biggest common factor number is the GCF number.
So the greatest common factor 82072 and 82090 is 2.

Also check out the Least Common Multiple of 82072 and 82090