What is the Greatest Common Factor of 82766 and 82774?

Greatest common factor (GCF) of 82766 and 82774 is 2.

GCF(82766,82774) = 2

We will now calculate the prime factors of 82766 and 82774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82766 and 82774.

How to find the GCF of 82766 and 82774?

We will first find the prime factorization of 82766 and 82774. After we will calculate the factors of 82766 and 82774 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82774

Prime factors of 82774 are 2, 41387. Prime factorization of 82774 in exponential form is:

82774 = 2¹ × 41387¹

Step-3: Factors of 82766

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

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

Step-4: Factors of 82774

List of positive integer factors of 82774 that divides 82766 without a remainder.

1, 2, 41387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82766 and 82774. The biggest common factor number is the GCF number.
So the greatest common factor 82766 and 82774 is 2.

Also check out the Least Common Multiple of 82766 and 82774