What is the Greatest Common Factor of 80030 and 80040?

Greatest common factor (GCF) of 80030 and 80040 is 10.

GCF(80030,80040) = 10

We will now calculate the prime factors of 80030 and 80040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80030 and 80040.

How to find the GCF of 80030 and 80040?

We will first find the prime factorization of 80030 and 80040. After we will calculate the factors of 80030 and 80040 and find the biggest common factor number .

Step-1: Prime Factorization of 80030

Prime factors of 80030 are 2, 5, 53, 151. Prime factorization of 80030 in exponential form is:

80030 = 2¹ × 5¹ × 53¹ × 151¹

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 80030

List of positive integer factors of 80030 that divides 80030 without a remainder.

1, 2, 5, 10, 53, 106, 151, 265, 302, 530, 755, 1510, 8003, 16006, 40015

Step-4: Factors of 80040

List of positive integer factors of 80040 that divides 80030 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 80030 and 80040. The biggest common factor number is the GCF number.
So the greatest common factor 80030 and 80040 is 10.

Also check out the Least Common Multiple of 80030 and 80040