What is the Greatest Common Factor of 72884 and 72903?

Greatest common factor (GCF) of 72884 and 72903 is 19.

GCF(72884,72903) = 19

We will now calculate the prime factors of 72884 and 72903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72884 and 72903.

How to find the GCF of 72884 and 72903?

We will first find the prime factorization of 72884 and 72903. After we will calculate the factors of 72884 and 72903 and find the biggest common factor number .

Step-1: Prime Factorization of 72884

Prime factors of 72884 are 2, 7, 19, 137. Prime factorization of 72884 in exponential form is:

72884 = 2² × 7¹ × 19¹ × 137¹

Step-2: Prime Factorization of 72903

Prime factors of 72903 are 3, 19, 1279. Prime factorization of 72903 in exponential form is:

72903 = 3¹ × 19¹ × 1279¹

Step-3: Factors of 72884

List of positive integer factors of 72884 that divides 72884 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 137, 266, 274, 532, 548, 959, 1918, 2603, 3836, 5206, 10412, 18221, 36442

Step-4: Factors of 72903

List of positive integer factors of 72903 that divides 72884 without a remainder.

1, 3, 19, 57, 1279, 3837, 24301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72884 and 72903. The biggest common factor number is the GCF number.
So the greatest common factor 72884 and 72903 is 19.

Also check out the Least Common Multiple of 72884 and 72903