What is the Greatest Common Factor of 72939 and 72944?

Greatest common factor (GCF) of 72939 and 72944 is 1.

GCF(72939,72944) = 1

We will now calculate the prime factors of 72939 and 72944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72939 and 72944.

How to find the GCF of 72939 and 72944?

We will first find the prime factorization of 72939 and 72944. After we will calculate the factors of 72939 and 72944 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 72944

Prime factors of 72944 are 2, 47, 97. Prime factorization of 72944 in exponential form is:

72944 = 2⁴ × 47¹ × 97¹

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 72944

List of positive integer factors of 72944 that divides 72939 without a remainder.

1, 2, 4, 8, 16, 47, 94, 97, 188, 194, 376, 388, 752, 776, 1552, 4559, 9118, 18236, 36472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72939 and 72944. The biggest common factor number is the GCF number.
So the greatest common factor 72939 and 72944 is 1.

Also check out the Least Common Multiple of 72939 and 72944