What is the Greatest Common Factor of 73100 and 73105?

Greatest common factor (GCF) of 73100 and 73105 is 5.

GCF(73100,73105) = 5

We will now calculate the prime factors of 73100 and 73105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73100 and 73105.

How to find the GCF of 73100 and 73105?

We will first find the prime factorization of 73100 and 73105. After we will calculate the factors of 73100 and 73105 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73105

Prime factors of 73105 are 5, 14621. Prime factorization of 73105 in exponential form is:

73105 = 5¹ × 14621¹

Step-3: Factors of 73100

List of positive integer factors of 73100 that divides 73100 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

Step-4: Factors of 73105

List of positive integer factors of 73105 that divides 73100 without a remainder.

1, 5, 14621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73100 and 73105. The biggest common factor number is the GCF number.
So the greatest common factor 73100 and 73105 is 5.

Also check out the Least Common Multiple of 73100 and 73105