What is the Greatest Common Factor of 72189 and 72206?

Greatest common factor (GCF) of 72189 and 72206 is 1.

GCF(72189,72206) = 1

We will now calculate the prime factors of 72189 and 72206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72189 and 72206.

How to find the GCF of 72189 and 72206?

We will first find the prime factorization of 72189 and 72206. After we will calculate the factors of 72189 and 72206 and find the biggest common factor number .

Step-1: Prime Factorization of 72189

Prime factors of 72189 are 3, 13, 617. Prime factorization of 72189 in exponential form is:

72189 = 3² × 13¹ × 617¹

Step-2: Prime Factorization of 72206

Prime factors of 72206 are 2, 79, 457. Prime factorization of 72206 in exponential form is:

72206 = 2¹ × 79¹ × 457¹

Step-3: Factors of 72189

List of positive integer factors of 72189 that divides 72189 without a remainder.

1, 3, 9, 13, 39, 117, 617, 1851, 5553, 8021, 24063

Step-4: Factors of 72206

List of positive integer factors of 72206 that divides 72189 without a remainder.

1, 2, 79, 158, 457, 914, 36103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72189 and 72206. The biggest common factor number is the GCF number.
So the greatest common factor 72189 and 72206 is 1.

Also check out the Least Common Multiple of 72189 and 72206