What is the Greatest Common Factor of 73356 and 73373?

Greatest common factor (GCF) of 73356 and 73373 is 1.

GCF(73356,73373) = 1

We will now calculate the prime factors of 73356 and 73373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73356 and 73373.

How to find the GCF of 73356 and 73373?

We will first find the prime factorization of 73356 and 73373. After we will calculate the factors of 73356 and 73373 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 73373

Prime factors of 73373 are 239, 307. Prime factorization of 73373 in exponential form is:

73373 = 239¹ × 307¹

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 73373

List of positive integer factors of 73373 that divides 73356 without a remainder.

1, 239, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73356 and 73373. The biggest common factor number is the GCF number.
So the greatest common factor 73356 and 73373 is 1.

Also check out the Least Common Multiple of 73356 and 73373