What is the Greatest Common Factor of 73250 and 73266?

Greatest common factor (GCF) of 73250 and 73266 is 2.

GCF(73250,73266) = 2

We will now calculate the prime factors of 73250 and 73266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73250 and 73266.

How to find the GCF of 73250 and 73266?

We will first find the prime factorization of 73250 and 73266. After we will calculate the factors of 73250 and 73266 and find the biggest common factor number .

Step-1: Prime Factorization of 73250

Prime factors of 73250 are 2, 5, 293. Prime factorization of 73250 in exponential form is:

73250 = 2¹ × 5³ × 293¹

Step-2: Prime Factorization of 73266

Prime factors of 73266 are 2, 3, 12211. Prime factorization of 73266 in exponential form is:

73266 = 2¹ × 3¹ × 12211¹

Step-3: Factors of 73250

List of positive integer factors of 73250 that divides 73250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250, 293, 586, 1465, 2930, 7325, 14650, 36625

Step-4: Factors of 73266

List of positive integer factors of 73266 that divides 73250 without a remainder.

1, 2, 3, 6, 12211, 24422, 36633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73250 and 73266. The biggest common factor number is the GCF number.
So the greatest common factor 73250 and 73266 is 2.

Also check out the Least Common Multiple of 73250 and 73266