What is the Greatest Common Factor of 72219 and 72229?

Greatest common factor (GCF) of 72219 and 72229 is 1.

GCF(72219,72229) = 1

We will now calculate the prime factors of 72219 and 72229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72219 and 72229.

How to find the GCF of 72219 and 72229?

We will first find the prime factorization of 72219 and 72229. After we will calculate the factors of 72219 and 72229 and find the biggest common factor number .

Step-1: Prime Factorization of 72219

Prime factors of 72219 are 3, 7, 19, 181. Prime factorization of 72219 in exponential form is:

72219 = 3¹ × 7¹ × 19¹ × 181¹

Step-2: Prime Factorization of 72229

Prime factors of 72229 are 72229. Prime factorization of 72229 in exponential form is:

72229 = 72229¹

Step-3: Factors of 72219

List of positive integer factors of 72219 that divides 72219 without a remainder.

1, 3, 7, 19, 21, 57, 133, 181, 399, 543, 1267, 3439, 3801, 10317, 24073

Step-4: Factors of 72229

List of positive integer factors of 72229 that divides 72219 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72219 and 72229. The biggest common factor number is the GCF number.
So the greatest common factor 72219 and 72229 is 1.

Also check out the Least Common Multiple of 72219 and 72229