What is the Greatest Common Factor of 80054 and 80066?

Greatest common factor (GCF) of 80054 and 80066 is 2.

GCF(80054,80066) = 2

We will now calculate the prime factors of 80054 and 80066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80054 and 80066.

How to find the GCF of 80054 and 80066?

We will first find the prime factorization of 80054 and 80066. After we will calculate the factors of 80054 and 80066 and find the biggest common factor number .

Step-1: Prime Factorization of 80054

Prime factors of 80054 are 2, 13, 3079. Prime factorization of 80054 in exponential form is:

80054 = 2¹ × 13¹ × 3079¹

Step-2: Prime Factorization of 80066

Prime factors of 80066 are 2, 7, 19, 43. Prime factorization of 80066 in exponential form is:

80066 = 2¹ × 7² × 19¹ × 43¹

Step-3: Factors of 80054

List of positive integer factors of 80054 that divides 80054 without a remainder.

1, 2, 13, 26, 3079, 6158, 40027

Step-4: Factors of 80066

List of positive integer factors of 80066 that divides 80054 without a remainder.

1, 2, 7, 14, 19, 38, 43, 49, 86, 98, 133, 266, 301, 602, 817, 931, 1634, 1862, 2107, 4214, 5719, 11438, 40033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80054 and 80066. The biggest common factor number is the GCF number.
So the greatest common factor 80054 and 80066 is 2.

Also check out the Least Common Multiple of 80054 and 80066