What is the Greatest Common Factor of 72010 and 72030?

Greatest common factor (GCF) of 72010 and 72030 is 10.

GCF(72010,72030) = 10

We will now calculate the prime factors of 72010 and 72030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72010 and 72030.

How to find the GCF of 72010 and 72030?

We will first find the prime factorization of 72010 and 72030. After we will calculate the factors of 72010 and 72030 and find the biggest common factor number .

Step-1: Prime Factorization of 72010

Prime factors of 72010 are 2, 5, 19, 379. Prime factorization of 72010 in exponential form is:

72010 = 2¹ × 5¹ × 19¹ × 379¹

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 72010

List of positive integer factors of 72010 that divides 72010 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 379, 758, 1895, 3790, 7201, 14402, 36005

Step-4: Factors of 72030

List of positive integer factors of 72030 that divides 72010 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 72010 and 72030. The biggest common factor number is the GCF number.
So the greatest common factor 72010 and 72030 is 10.

Also check out the Least Common Multiple of 72010 and 72030