What is the Greatest Common Factor of 80040 and 80050?

Greatest common factor (GCF) of 80040 and 80050 is 10.

GCF(80040,80050) = 10

We will now calculate the prime factors of 80040 and 80050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80040 and 80050.

How to find the GCF of 80040 and 80050?

We will first find the prime factorization of 80040 and 80050. After we will calculate the factors of 80040 and 80050 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 80050

Prime factors of 80050 are 2, 5, 1601. Prime factorization of 80050 in exponential form is:

80050 = 2¹ × 5² × 1601¹

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 80050

List of positive integer factors of 80050 that divides 80040 without a remainder.

1, 2, 5, 10, 25, 50, 1601, 3202, 8005, 16010, 40025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80040 and 80050. The biggest common factor number is the GCF number.
So the greatest common factor 80040 and 80050 is 10.

Also check out the Least Common Multiple of 80040 and 80050