What is the Greatest Common Factor of 80025 and 80040?

Greatest common factor (GCF) of 80025 and 80040 is 15.

GCF(80025,80040) = 15

We will now calculate the prime factors of 80025 and 80040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80025 and 80040.

How to find the GCF of 80025 and 80040?

We will first find the prime factorization of 80025 and 80040. After we will calculate the factors of 80025 and 80040 and find the biggest common factor number .

Step-1: Prime Factorization of 80025

Prime factors of 80025 are 3, 5, 11, 97. Prime factorization of 80025 in exponential form is:

80025 = 3¹ × 5² × 11¹ × 97¹

Step-2: 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-3: Factors of 80025

List of positive integer factors of 80025 that divides 80025 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 97, 165, 275, 291, 485, 825, 1067, 1455, 2425, 3201, 5335, 7275, 16005, 26675

Step-4: Factors of 80040

List of positive integer factors of 80040 that divides 80025 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80025 and 80040. The biggest common factor number is the GCF number.
So the greatest common factor 80025 and 80040 is 15.

Also check out the Least Common Multiple of 80025 and 80040