What is the Greatest Common Factor of 73208 and 73226?

Greatest common factor (GCF) of 73208 and 73226 is 2.

GCF(73208,73226) = 2

We will now calculate the prime factors of 73208 and 73226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73208 and 73226.

How to find the GCF of 73208 and 73226?

We will first find the prime factorization of 73208 and 73226. After we will calculate the factors of 73208 and 73226 and find the biggest common factor number .

Step-1: Prime Factorization of 73208

Prime factors of 73208 are 2, 9151. Prime factorization of 73208 in exponential form is:

73208 = 2³ × 9151¹

Step-2: Prime Factorization of 73226

Prime factors of 73226 are 2, 19, 41, 47. Prime factorization of 73226 in exponential form is:

73226 = 2¹ × 19¹ × 41¹ × 47¹

Step-3: Factors of 73208

List of positive integer factors of 73208 that divides 73208 without a remainder.

1, 2, 4, 8, 9151, 18302, 36604

Step-4: Factors of 73226

List of positive integer factors of 73226 that divides 73208 without a remainder.

1, 2, 19, 38, 41, 47, 82, 94, 779, 893, 1558, 1786, 1927, 3854, 36613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73208 and 73226. The biggest common factor number is the GCF number.
So the greatest common factor 73208 and 73226 is 2.

Also check out the Least Common Multiple of 73208 and 73226