What is the Greatest Common Factor of 73316 and 73336?

Greatest common factor (GCF) of 73316 and 73336 is 4.

GCF(73316,73336) = 4

We will now calculate the prime factors of 73316 and 73336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73316 and 73336.

How to find the GCF of 73316 and 73336?

We will first find the prime factorization of 73316 and 73336. After we will calculate the factors of 73316 and 73336 and find the biggest common factor number .

Step-1: Prime Factorization of 73316

Prime factors of 73316 are 2, 18329. Prime factorization of 73316 in exponential form is:

73316 = 2² × 18329¹

Step-2: 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-3: Factors of 73316

List of positive integer factors of 73316 that divides 73316 without a remainder.

1, 2, 4, 18329, 36658

Step-4: Factors of 73336

List of positive integer factors of 73336 that divides 73316 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73316 and 73336. The biggest common factor number is the GCF number.
So the greatest common factor 73316 and 73336 is 4.

Also check out the Least Common Multiple of 73316 and 73336