What is the Greatest Common Factor of 82745 and 82760?

Greatest common factor (GCF) of 82745 and 82760 is 5.

GCF(82745,82760) = 5

We will now calculate the prime factors of 82745 and 82760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82745 and 82760.

How to find the GCF of 82745 and 82760?

We will first find the prime factorization of 82745 and 82760. After we will calculate the factors of 82745 and 82760 and find the biggest common factor number .

Step-1: Prime Factorization of 82745

Prime factors of 82745 are 5, 13, 19, 67. Prime factorization of 82745 in exponential form is:

82745 = 5¹ × 13¹ × 19¹ × 67¹

Step-2: Prime Factorization of 82760

Prime factors of 82760 are 2, 5, 2069. Prime factorization of 82760 in exponential form is:

82760 = 2³ × 5¹ × 2069¹

Step-3: Factors of 82745

List of positive integer factors of 82745 that divides 82745 without a remainder.

1, 5, 13, 19, 65, 67, 95, 247, 335, 871, 1235, 1273, 4355, 6365, 16549

Step-4: Factors of 82760

List of positive integer factors of 82760 that divides 82745 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2069, 4138, 8276, 10345, 16552, 20690, 41380

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82745 and 82760. The biggest common factor number is the GCF number.
So the greatest common factor 82745 and 82760 is 5.

Also check out the Least Common Multiple of 82745 and 82760