What is the Greatest Common Factor of 73050 and 73058?

Greatest common factor (GCF) of 73050 and 73058 is 2.

GCF(73050,73058) = 2

We will now calculate the prime factors of 73050 and 73058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73050 and 73058.

How to find the GCF of 73050 and 73058?

We will first find the prime factorization of 73050 and 73058. After we will calculate the factors of 73050 and 73058 and find the biggest common factor number .

Step-1: Prime Factorization of 73050

Prime factors of 73050 are 2, 3, 5, 487. Prime factorization of 73050 in exponential form is:

73050 = 2¹ × 3¹ × 5² × 487¹

Step-2: Prime Factorization of 73058

Prime factors of 73058 are 2, 36529. Prime factorization of 73058 in exponential form is:

73058 = 2¹ × 36529¹

Step-3: Factors of 73050

List of positive integer factors of 73050 that divides 73050 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 487, 974, 1461, 2435, 2922, 4870, 7305, 12175, 14610, 24350, 36525

Step-4: Factors of 73058

List of positive integer factors of 73058 that divides 73050 without a remainder.

1, 2, 36529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73050 and 73058. The biggest common factor number is the GCF number.
So the greatest common factor 73050 and 73058 is 2.

Also check out the Least Common Multiple of 73050 and 73058