What is the Greatest Common Factor of 82054 and 82074?

Greatest common factor (GCF) of 82054 and 82074 is 2.

GCF(82054,82074) = 2

We will now calculate the prime factors of 82054 and 82074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82054 and 82074.

How to find the GCF of 82054 and 82074?

We will first find the prime factorization of 82054 and 82074. After we will calculate the factors of 82054 and 82074 and find the biggest common factor number .

Step-1: Prime Factorization of 82054

Prime factors of 82054 are 2, 7, 5861. Prime factorization of 82054 in exponential form is:

82054 = 2¹ × 7¹ × 5861¹

Step-2: 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-3: Factors of 82054

List of positive integer factors of 82054 that divides 82054 without a remainder.

1, 2, 7, 14, 5861, 11722, 41027

Step-4: Factors of 82074

List of positive integer factors of 82074 that divides 82054 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82054 and 82074. The biggest common factor number is the GCF number.
So the greatest common factor 82054 and 82074 is 2.

Also check out the Least Common Multiple of 82054 and 82074