What is the Greatest Common Factor of 80040 and 80054?

Greatest common factor (GCF) of 80040 and 80054 is 2.

GCF(80040,80054) = 2

We will now calculate the prime factors of 80040 and 80054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80040 and 80054.

How to find the GCF of 80040 and 80054?

We will first find the prime factorization of 80040 and 80054. After we will calculate the factors of 80040 and 80054 and find the biggest common factor number .

Step-1: Prime Factorization of 80040

Prime factors of 80040 are 2, 3, 5, 23, 29. Prime factorization of 80040 in exponential form is:

80040 = 2³ × 3¹ × 5¹ × 23¹ × 29¹

Step-2: 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-3: Factors of 80040

List of positive integer factors of 80040 that divides 80040 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 23, 24, 29, 30, 40, 46, 58, 60, 69, 87, 92, 115, 116, 120, 138, 145, 174, 184, 230, 232, 276, 290, 345, 348, 435, 460, 552, 580, 667, 690, 696, 870, 920, 1160, 1334, 1380, 1740, 2001, 2668, 2760, 3335, 3480, 4002, 5336, 6670, 8004, 10005, 13340, 16008, 20010, 26680, 40020

Step-4: Factors of 80054

List of positive integer factors of 80054 that divides 80040 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80040 and 80054. The biggest common factor number is the GCF number.
So the greatest common factor 80040 and 80054 is 2.

Also check out the Least Common Multiple of 80040 and 80054