What is the Greatest Common Factor of 82060 and 82071?

Greatest common factor (GCF) of 82060 and 82071 is 11.

GCF(82060,82071) = 11

We will now calculate the prime factors of 82060 and 82071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82060 and 82071.

How to find the GCF of 82060 and 82071?

We will first find the prime factorization of 82060 and 82071. After we will calculate the factors of 82060 and 82071 and find the biggest common factor number .

Step-1: Prime Factorization of 82060

Prime factors of 82060 are 2, 5, 11, 373. Prime factorization of 82060 in exponential form is:

82060 = 2² × 5¹ × 11¹ × 373¹

Step-2: Prime Factorization of 82071

Prime factors of 82071 are 3, 11, 829. Prime factorization of 82071 in exponential form is:

82071 = 3² × 11¹ × 829¹

Step-3: Factors of 82060

List of positive integer factors of 82060 that divides 82060 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 373, 746, 1492, 1865, 3730, 4103, 7460, 8206, 16412, 20515, 41030

Step-4: Factors of 82071

List of positive integer factors of 82071 that divides 82060 without a remainder.

1, 3, 9, 11, 33, 99, 829, 2487, 7461, 9119, 27357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82060 and 82071. The biggest common factor number is the GCF number.
So the greatest common factor 82060 and 82071 is 11.

Also check out the Least Common Multiple of 82060 and 82071