What is the Greatest Common Factor of 82049 and 82060?

Greatest common factor (GCF) of 82049 and 82060 is 11.

GCF(82049,82060) = 11

We will now calculate the prime factors of 82049 and 82060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82049 and 82060.

How to find the GCF of 82049 and 82060?

We will first find the prime factorization of 82049 and 82060. After we will calculate the factors of 82049 and 82060 and find the biggest common factor number .

Step-1: Prime Factorization of 82049

Prime factors of 82049 are 11, 7459. Prime factorization of 82049 in exponential form is:

82049 = 11¹ × 7459¹

Step-2: 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-3: Factors of 82049

List of positive integer factors of 82049 that divides 82049 without a remainder.

1, 11, 7459

Step-4: Factors of 82060

List of positive integer factors of 82060 that divides 82049 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82049 and 82060. The biggest common factor number is the GCF number.
So the greatest common factor 82049 and 82060 is 11.

Also check out the Least Common Multiple of 82049 and 82060