What is the Greatest Common Factor of 72004 and 72010?

Greatest common factor (GCF) of 72004 and 72010 is 2.

GCF(72004,72010) = 2

We will now calculate the prime factors of 72004 and 72010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72004 and 72010.

How to find the GCF of 72004 and 72010?

We will first find the prime factorization of 72004 and 72010. After we will calculate the factors of 72004 and 72010 and find the biggest common factor number .

Step-1: Prime Factorization of 72004

Prime factors of 72004 are 2, 47, 383. Prime factorization of 72004 in exponential form is:

72004 = 2² × 47¹ × 383¹

Step-2: 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-3: Factors of 72004

List of positive integer factors of 72004 that divides 72004 without a remainder.

1, 2, 4, 47, 94, 188, 383, 766, 1532, 18001, 36002

Step-4: Factors of 72010

List of positive integer factors of 72010 that divides 72004 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72004 and 72010. The biggest common factor number is the GCF number.
So the greatest common factor 72004 and 72010 is 2.

Also check out the Least Common Multiple of 72004 and 72010