What is the Greatest Common Factor of 73336 and 73356?

Greatest common factor (GCF) of 73336 and 73356 is 4.

GCF(73336,73356) = 4

We will now calculate the prime factors of 73336 and 73356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73336 and 73356.

How to find the GCF of 73336 and 73356?

We will first find the prime factorization of 73336 and 73356. After we will calculate the factors of 73336 and 73356 and find the biggest common factor number .

Step-1: Prime Factorization of 73336

Prime factors of 73336 are 2, 89, 103. Prime factorization of 73336 in exponential form is:

73336 = 2³ × 89¹ × 103¹

Step-2: 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-3: Factors of 73336

List of positive integer factors of 73336 that divides 73336 without a remainder.

1, 2, 4, 8, 89, 103, 178, 206, 356, 412, 712, 824, 9167, 18334, 36668

Step-4: Factors of 73356

List of positive integer factors of 73356 that divides 73336 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73336 and 73356. The biggest common factor number is the GCF number.
So the greatest common factor 73336 and 73356 is 4.

Also check out the Least Common Multiple of 73336 and 73356