What is the Greatest Common Factor of 73035 and 73050?

Greatest common factor (GCF) of 73035 and 73050 is 15.

GCF(73035,73050) = 15

We will now calculate the prime factors of 73035 and 73050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73035 and 73050.

How to find the GCF of 73035 and 73050?

We will first find the prime factorization of 73035 and 73050. After we will calculate the factors of 73035 and 73050 and find the biggest common factor number .

Step-1: Prime Factorization of 73035

Prime factors of 73035 are 3, 5, 541. Prime factorization of 73035 in exponential form is:

73035 = 3³ × 5¹ × 541¹

Step-2: 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-3: Factors of 73035

List of positive integer factors of 73035 that divides 73035 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 541, 1623, 2705, 4869, 8115, 14607, 24345

Step-4: Factors of 73050

List of positive integer factors of 73050 that divides 73035 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73035 and 73050. The biggest common factor number is the GCF number.
So the greatest common factor 73035 and 73050 is 15.

Also check out the Least Common Multiple of 73035 and 73050