What is the Greatest Common Factor of 82072 and 82086?

Greatest common factor (GCF) of 82072 and 82086 is 2.

GCF(82072,82086) = 2

We will now calculate the prime factors of 82072 and 82086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82072 and 82086.

How to find the GCF of 82072 and 82086?

We will first find the prime factorization of 82072 and 82086. After we will calculate the factors of 82072 and 82086 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 82086

Prime factors of 82086 are 2, 3, 13681. Prime factorization of 82086 in exponential form is:

82086 = 2¹ × 3¹ × 13681¹

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 82086

List of positive integer factors of 82086 that divides 82072 without a remainder.

1, 2, 3, 6, 13681, 27362, 41043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82072 and 82086. The biggest common factor number is the GCF number.
So the greatest common factor 82072 and 82086 is 2.

Also check out the Least Common Multiple of 82072 and 82086