What is the Greatest Common Factor of 73085 and 73100?

Greatest common factor (GCF) of 73085 and 73100 is 5.

GCF(73085,73100) = 5

We will now calculate the prime factors of 73085 and 73100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73085 and 73100.

How to find the GCF of 73085 and 73100?

We will first find the prime factorization of 73085 and 73100. After we will calculate the factors of 73085 and 73100 and find the biggest common factor number .

Step-1: Prime Factorization of 73085

Prime factors of 73085 are 5, 47, 311. Prime factorization of 73085 in exponential form is:

73085 = 5¹ × 47¹ × 311¹

Step-2: Prime Factorization of 73100

Prime factors of 73100 are 2, 5, 17, 43. Prime factorization of 73100 in exponential form is:

73100 = 2² × 5² × 17¹ × 43¹

Step-3: Factors of 73085

List of positive integer factors of 73085 that divides 73085 without a remainder.

1, 5, 47, 235, 311, 1555, 14617

Step-4: Factors of 73100

List of positive integer factors of 73100 that divides 73085 without a remainder.

1, 2, 4, 5, 10, 17, 20, 25, 34, 43, 50, 68, 85, 86, 100, 170, 172, 215, 340, 425, 430, 731, 850, 860, 1075, 1462, 1700, 2150, 2924, 3655, 4300, 7310, 14620, 18275, 36550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73085 and 73100. The biggest common factor number is the GCF number.
So the greatest common factor 73085 and 73100 is 5.

Also check out the Least Common Multiple of 73085 and 73100