What is the Greatest Common Factor of 73356 and 73371?

Greatest common factor (GCF) of 73356 and 73371 is 3.

GCF(73356,73371) = 3

We will now calculate the prime factors of 73356 and 73371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73356 and 73371.

How to find the GCF of 73356 and 73371?

We will first find the prime factorization of 73356 and 73371. After we will calculate the factors of 73356 and 73371 and find the biggest common factor number .

Step-1: Prime Factorization of 73356

Prime factors of 73356 are 2, 3, 6113. Prime factorization of 73356 in exponential form is:

73356 = 2² × 3¹ × 6113¹

Step-2: Prime Factorization of 73371

Prime factors of 73371 are 3, 37, 661. Prime factorization of 73371 in exponential form is:

73371 = 3¹ × 37¹ × 661¹

Step-3: Factors of 73356

List of positive integer factors of 73356 that divides 73356 without a remainder.

1, 2, 3, 4, 6, 12, 6113, 12226, 18339, 24452, 36678

Step-4: Factors of 73371

List of positive integer factors of 73371 that divides 73356 without a remainder.

1, 3, 37, 111, 661, 1983, 24457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73356 and 73371. The biggest common factor number is the GCF number.
So the greatest common factor 73356 and 73371 is 3.

Also check out the Least Common Multiple of 73356 and 73371