What is the Greatest Common Factor of 82760 and 82766?

Greatest common factor (GCF) of 82760 and 82766 is 2.

GCF(82760,82766) = 2

We will now calculate the prime factors of 82760 and 82766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82760 and 82766.

How to find the GCF of 82760 and 82766?

We will first find the prime factorization of 82760 and 82766. After we will calculate the factors of 82760 and 82766 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82766

Prime factors of 82766 are 2, 29, 1427. Prime factorization of 82766 in exponential form is:

82766 = 2¹ × 29¹ × 1427¹

Step-3: Factors of 82760

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

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

Step-4: Factors of 82766

List of positive integer factors of 82766 that divides 82760 without a remainder.

1, 2, 29, 58, 1427, 2854, 41383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82760 and 82766. The biggest common factor number is the GCF number.
So the greatest common factor 82760 and 82766 is 2.

Also check out the Least Common Multiple of 82760 and 82766