What is the Greatest Common Factor of 72030 and 72039?

Greatest common factor (GCF) of 72030 and 72039 is 3.

GCF(72030,72039) = 3

We will now calculate the prime factors of 72030 and 72039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72030 and 72039.

How to find the GCF of 72030 and 72039?

We will first find the prime factorization of 72030 and 72039. After we will calculate the factors of 72030 and 72039 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72039

Prime factors of 72039 are 3, 11, 37, 59. Prime factorization of 72039 in exponential form is:

72039 = 3¹ × 11¹ × 37¹ × 59¹

Step-3: Factors of 72030

List of positive integer factors of 72030 that divides 72030 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

Step-4: Factors of 72039

List of positive integer factors of 72039 that divides 72030 without a remainder.

1, 3, 11, 33, 37, 59, 111, 177, 407, 649, 1221, 1947, 2183, 6549, 24013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72030 and 72039. The biggest common factor number is the GCF number.
So the greatest common factor 72030 and 72039 is 3.

Also check out the Least Common Multiple of 72030 and 72039