What is the Greatest Common Factor of 73346 and 73358?

Greatest common factor (GCF) of 73346 and 73358 is 2.

GCF(73346,73358) = 2

We will now calculate the prime factors of 73346 and 73358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73346 and 73358.

How to find the GCF of 73346 and 73358?

We will first find the prime factorization of 73346 and 73358. After we will calculate the factors of 73346 and 73358 and find the biggest common factor number .

Step-1: Prime Factorization of 73346

Prime factors of 73346 are 2, 7, 13, 31. Prime factorization of 73346 in exponential form is:

73346 = 2¹ × 7¹ × 13² × 31¹

Step-2: Prime Factorization of 73358

Prime factors of 73358 are 2, 43, 853. Prime factorization of 73358 in exponential form is:

73358 = 2¹ × 43¹ × 853¹

Step-3: Factors of 73346

List of positive integer factors of 73346 that divides 73346 without a remainder.

1, 2, 7, 13, 14, 26, 31, 62, 91, 169, 182, 217, 338, 403, 434, 806, 1183, 2366, 2821, 5239, 5642, 10478, 36673

Step-4: Factors of 73358

List of positive integer factors of 73358 that divides 73346 without a remainder.

1, 2, 43, 86, 853, 1706, 36679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73346 and 73358. The biggest common factor number is the GCF number.
So the greatest common factor 73346 and 73358 is 2.

Also check out the Least Common Multiple of 73346 and 73358