What is the Greatest Common Factor of 72099 and 72106?

Greatest common factor (GCF) of 72099 and 72106 is 1.

GCF(72099,72106) = 1

We will now calculate the prime factors of 72099 and 72106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72099 and 72106.

How to find the GCF of 72099 and 72106?

We will first find the prime factorization of 72099 and 72106. After we will calculate the factors of 72099 and 72106 and find the biggest common factor number .

Step-1: Prime Factorization of 72099

Prime factors of 72099 are 3, 8011. Prime factorization of 72099 in exponential form is:

72099 = 3² × 8011¹

Step-2: Prime Factorization of 72106

Prime factors of 72106 are 2, 31, 1163. Prime factorization of 72106 in exponential form is:

72106 = 2¹ × 31¹ × 1163¹

Step-3: Factors of 72099

List of positive integer factors of 72099 that divides 72099 without a remainder.

1, 3, 9, 8011, 24033

Step-4: Factors of 72106

List of positive integer factors of 72106 that divides 72099 without a remainder.

1, 2, 31, 62, 1163, 2326, 36053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72099 and 72106. The biggest common factor number is the GCF number.
So the greatest common factor 72099 and 72106 is 1.

Also check out the Least Common Multiple of 72099 and 72106