What is the Greatest Common Factor of 73050 and 73069?

Greatest common factor (GCF) of 73050 and 73069 is 1.

GCF(73050,73069) = 1

We will now calculate the prime factors of 73050 and 73069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73050 and 73069.

How to find the GCF of 73050 and 73069?

We will first find the prime factorization of 73050 and 73069. After we will calculate the factors of 73050 and 73069 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 73069

Prime factors of 73069 are 89, 821. Prime factorization of 73069 in exponential form is:

73069 = 89¹ × 821¹

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 73069

List of positive integer factors of 73069 that divides 73050 without a remainder.

1, 89, 821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73050 and 73069. The biggest common factor number is the GCF number.
So the greatest common factor 73050 and 73069 is 1.

Also check out the Least Common Multiple of 73050 and 73069