What is the Greatest Common Factor of 72087 and 72092?

Greatest common factor (GCF) of 72087 and 72092 is 1.

GCF(72087,72092) = 1

We will now calculate the prime factors of 72087 and 72092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72087 and 72092.

How to find the GCF of 72087 and 72092?

We will first find the prime factorization of 72087 and 72092. After we will calculate the factors of 72087 and 72092 and find the biggest common factor number .

Step-1: Prime Factorization of 72087

Prime factors of 72087 are 3, 24029. Prime factorization of 72087 in exponential form is:

72087 = 3¹ × 24029¹

Step-2: Prime Factorization of 72092

Prime factors of 72092 are 2, 67, 269. Prime factorization of 72092 in exponential form is:

72092 = 2² × 67¹ × 269¹

Step-3: Factors of 72087

List of positive integer factors of 72087 that divides 72087 without a remainder.

1, 3, 24029

Step-4: Factors of 72092

List of positive integer factors of 72092 that divides 72087 without a remainder.

1, 2, 4, 67, 134, 268, 269, 538, 1076, 18023, 36046

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72087 and 72092. The biggest common factor number is the GCF number.
So the greatest common factor 72087 and 72092 is 1.

Also check out the Least Common Multiple of 72087 and 72092