What is the Greatest Common Factor of 72939 and 72945?

Greatest common factor (GCF) of 72939 and 72945 is 3.

GCF(72939,72945) = 3

We will now calculate the prime factors of 72939 and 72945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72939 and 72945.

How to find the GCF of 72939 and 72945?

We will first find the prime factorization of 72939 and 72945. After we will calculate the factors of 72939 and 72945 and find the biggest common factor number .

Step-1: Prime Factorization of 72939

Prime factors of 72939 are 3, 41, 593. Prime factorization of 72939 in exponential form is:

72939 = 3¹ × 41¹ × 593¹

Step-2: Prime Factorization of 72945

Prime factors of 72945 are 3, 5, 1621. Prime factorization of 72945 in exponential form is:

72945 = 3² × 5¹ × 1621¹

Step-3: Factors of 72939

List of positive integer factors of 72939 that divides 72939 without a remainder.

1, 3, 41, 123, 593, 1779, 24313

Step-4: Factors of 72945

List of positive integer factors of 72945 that divides 72939 without a remainder.

1, 3, 5, 9, 15, 45, 1621, 4863, 8105, 14589, 24315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72939 and 72945. The biggest common factor number is the GCF number.
So the greatest common factor 72939 and 72945 is 3.

Also check out the Least Common Multiple of 72939 and 72945