What is the Greatest Common Factor of 72219 and 72223?

Greatest common factor (GCF) of 72219 and 72223 is 1.

GCF(72219,72223) = 1

We will now calculate the prime factors of 72219 and 72223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72219 and 72223.

How to find the GCF of 72219 and 72223?

We will first find the prime factorization of 72219 and 72223. After we will calculate the factors of 72219 and 72223 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 72223

Prime factors of 72223 are 72223. Prime factorization of 72223 in exponential form is:

72223 = 72223¹

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 72223

List of positive integer factors of 72223 that divides 72219 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72219 and 72223. The biggest common factor number is the GCF number.
So the greatest common factor 72219 and 72223 is 1.

Also check out the Least Common Multiple of 72219 and 72223