What is the Greatest Common Factor of 82074 and 82079?

Greatest common factor (GCF) of 82074 and 82079 is 1.

GCF(82074,82079) = 1

We will now calculate the prime factors of 82074 and 82079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82074 and 82079.

How to find the GCF of 82074 and 82079?

We will first find the prime factorization of 82074 and 82079. After we will calculate the factors of 82074 and 82079 and find the biggest common factor number .

Step-1: Prime Factorization of 82074

Prime factors of 82074 are 2, 3, 13679. Prime factorization of 82074 in exponential form is:

82074 = 2¹ × 3¹ × 13679¹

Step-2: Prime Factorization of 82079

Prime factors of 82079 are 211, 389. Prime factorization of 82079 in exponential form is:

82079 = 211¹ × 389¹

Step-3: Factors of 82074

List of positive integer factors of 82074 that divides 82074 without a remainder.

1, 2, 3, 6, 13679, 27358, 41037

Step-4: Factors of 82079

List of positive integer factors of 82079 that divides 82074 without a remainder.

1, 211, 389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82074 and 82079. The biggest common factor number is the GCF number.
So the greatest common factor 82074 and 82079 is 1.

Also check out the Least Common Multiple of 82074 and 82079