What is the Greatest Common Factor of 73190 and 73208?

Greatest common factor (GCF) of 73190 and 73208 is 2.

GCF(73190,73208) = 2

We will now calculate the prime factors of 73190 and 73208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73190 and 73208.

How to find the GCF of 73190 and 73208?

We will first find the prime factorization of 73190 and 73208. After we will calculate the factors of 73190 and 73208 and find the biggest common factor number .

Step-1: Prime Factorization of 73190

Prime factors of 73190 are 2, 5, 13, 563. Prime factorization of 73190 in exponential form is:

73190 = 2¹ × 5¹ × 13¹ × 563¹

Step-2: Prime Factorization of 73208

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

73208 = 2³ × 9151¹

Step-3: Factors of 73190

List of positive integer factors of 73190 that divides 73190 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 563, 1126, 2815, 5630, 7319, 14638, 36595

Step-4: Factors of 73208

List of positive integer factors of 73208 that divides 73190 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73190 and 73208. The biggest common factor number is the GCF number.
So the greatest common factor 73190 and 73208 is 2.

Also check out the Least Common Multiple of 73190 and 73208