What is the Greatest Common Factor of 72018 and 72030?

Greatest common factor (GCF) of 72018 and 72030 is 6.

GCF(72018,72030) = 6

We will now calculate the prime factors of 72018 and 72030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72018 and 72030.

How to find the GCF of 72018 and 72030?

We will first find the prime factorization of 72018 and 72030. After we will calculate the factors of 72018 and 72030 and find the biggest common factor number .

Step-1: Prime Factorization of 72018

Prime factors of 72018 are 2, 3, 4001. Prime factorization of 72018 in exponential form is:

72018 = 2¹ × 3² × 4001¹

Step-2: Prime Factorization of 72030

Prime factors of 72030 are 2, 3, 5, 7. Prime factorization of 72030 in exponential form is:

72030 = 2¹ × 3¹ × 5¹ × 7⁴

Step-3: Factors of 72018

List of positive integer factors of 72018 that divides 72018 without a remainder.

1, 2, 3, 6, 9, 18, 4001, 8002, 12003, 24006, 36009

Step-4: Factors of 72030

List of positive integer factors of 72030 that divides 72018 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 343, 490, 686, 735, 1029, 1470, 1715, 2058, 2401, 3430, 4802, 5145, 7203, 10290, 12005, 14406, 24010, 36015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72018 and 72030. The biggest common factor number is the GCF number.
So the greatest common factor 72018 and 72030 is 6.

Also check out the Least Common Multiple of 72018 and 72030