What is the Greatest Common Factor of 73882 and 73887?

Greatest common factor (GCF) of 73882 and 73887 is 1.

GCF(73882,73887) = 1

We will now calculate the prime factors of 73882 and 73887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73882 and 73887.

How to find the GCF of 73882 and 73887?

We will first find the prime factorization of 73882 and 73887. After we will calculate the factors of 73882 and 73887 and find the biggest common factor number .

Step-1: Prime Factorization of 73882

Prime factors of 73882 are 2, 17, 41, 53. Prime factorization of 73882 in exponential form is:

73882 = 2¹ × 17¹ × 41¹ × 53¹

Step-2: Prime Factorization of 73887

Prime factors of 73887 are 3, 11, 2239. Prime factorization of 73887 in exponential form is:

73887 = 3¹ × 11¹ × 2239¹

Step-3: Factors of 73882

List of positive integer factors of 73882 that divides 73882 without a remainder.

1, 2, 17, 34, 41, 53, 82, 106, 697, 901, 1394, 1802, 2173, 4346, 36941

Step-4: Factors of 73887

List of positive integer factors of 73887 that divides 73882 without a remainder.

1, 3, 11, 33, 2239, 6717, 24629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73882 and 73887. The biggest common factor number is the GCF number.
So the greatest common factor 73882 and 73887 is 1.

Also check out the Least Common Multiple of 73882 and 73887