What is the Greatest Common Factor of 80040 and 80055?

Greatest common factor (GCF) of 80040 and 80055 is 15.

GCF(80040,80055) = 15

We will now calculate the prime factors of 80040 and 80055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80040 and 80055.

How to find the GCF of 80040 and 80055?

We will first find the prime factorization of 80040 and 80055. After we will calculate the factors of 80040 and 80055 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 80055

Prime factors of 80055 are 3, 5, 593. Prime factorization of 80055 in exponential form is:

80055 = 3³ × 5¹ × 593¹

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 80055

List of positive integer factors of 80055 that divides 80040 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 593, 1779, 2965, 5337, 8895, 16011, 26685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80040 and 80055. The biggest common factor number is the GCF number.
So the greatest common factor 80040 and 80055 is 15.

Also check out the Least Common Multiple of 80040 and 80055