What is the Greatest Common Factor of 82077 and 82092?

Greatest common factor (GCF) of 82077 and 82092 is 3.

GCF(82077,82092) = 3

We will now calculate the prime factors of 82077 and 82092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82077 and 82092.

How to find the GCF of 82077 and 82092?

We will first find the prime factorization of 82077 and 82092. After we will calculate the factors of 82077 and 82092 and find the biggest common factor number .

Step-1: Prime Factorization of 82077

Prime factors of 82077 are 3, 109, 251. Prime factorization of 82077 in exponential form is:

82077 = 3¹ × 109¹ × 251¹

Step-2: Prime Factorization of 82092

Prime factors of 82092 are 2, 3, 6841. Prime factorization of 82092 in exponential form is:

82092 = 2² × 3¹ × 6841¹

Step-3: Factors of 82077

List of positive integer factors of 82077 that divides 82077 without a remainder.

1, 3, 109, 251, 327, 753, 27359

Step-4: Factors of 82092

List of positive integer factors of 82092 that divides 82077 without a remainder.

1, 2, 3, 4, 6, 12, 6841, 13682, 20523, 27364, 41046

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82077 and 82092. The biggest common factor number is the GCF number.
So the greatest common factor 82077 and 82092 is 3.

Also check out the Least Common Multiple of 82077 and 82092