What is the Greatest Common Factor of 73050 and 73060?

Greatest common factor (GCF) of 73050 and 73060 is 10.

GCF(73050,73060) = 10

We will now calculate the prime factors of 73050 and 73060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73050 and 73060.

How to find the GCF of 73050 and 73060?

We will first find the prime factorization of 73050 and 73060. After we will calculate the factors of 73050 and 73060 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 73060

Prime factors of 73060 are 2, 5, 13, 281. Prime factorization of 73060 in exponential form is:

73060 = 2² × 5¹ × 13¹ × 281¹

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 73060

List of positive integer factors of 73060 that divides 73050 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260, 281, 562, 1124, 1405, 2810, 3653, 5620, 7306, 14612, 18265, 36530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73050 and 73060. The biggest common factor number is the GCF number.
So the greatest common factor 73050 and 73060 is 10.

Also check out the Least Common Multiple of 73050 and 73060