What is the Greatest Common Factor of 40020 and 40030?

Greatest common factor (GCF) of 40020 and 40030 is 10.

GCF(40020,40030) = 10

We will now calculate the prime factors of 40020 and 40030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40020 and 40030.

How to find the GCF of 40020 and 40030?

We will first find the prime factorization of 40020 and 40030. After we will calculate the factors of 40020 and 40030 and find the biggest common factor number .

Step-1: Prime Factorization of 40020

Prime factors of 40020 are 2, 3, 5, 23, 29. Prime factorization of 40020 in exponential form is:

40020 = 2² × 3¹ × 5¹ × 23¹ × 29¹

Step-2: Prime Factorization of 40030

Prime factors of 40030 are 2, 5, 4003. Prime factorization of 40030 in exponential form is:

40030 = 2¹ × 5¹ × 4003¹

Step-3: Factors of 40020

List of positive integer factors of 40020 that divides 40020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 29, 30, 46, 58, 60, 69, 87, 92, 115, 116, 138, 145, 174, 230, 276, 290, 345, 348, 435, 460, 580, 667, 690, 870, 1334, 1380, 1740, 2001, 2668, 3335, 4002, 6670, 8004, 10005, 13340, 20010

Step-4: Factors of 40030

List of positive integer factors of 40030 that divides 40020 without a remainder.

1, 2, 5, 10, 4003, 8006, 20015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40020 and 40030. The biggest common factor number is the GCF number.
So the greatest common factor 40020 and 40030 is 10.

Also check out the Least Common Multiple of 40020 and 40030