What is the Greatest Common Factor of 73100 and 73107?

Greatest common factor (GCF) of 73100 and 73107 is 1.

GCF(73100,73107) = 1

We will now calculate the prime factors of 73100 and 73107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73100 and 73107.

How to find the GCF of 73100 and 73107?

We will first find the prime factorization of 73100 and 73107. After we will calculate the factors of 73100 and 73107 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 73107

Prime factors of 73107 are 3, 8123. Prime factorization of 73107 in exponential form is:

73107 = 3² × 8123¹

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 73107

List of positive integer factors of 73107 that divides 73100 without a remainder.

1, 3, 9, 8123, 24369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73100 and 73107. The biggest common factor number is the GCF number.
So the greatest common factor 73100 and 73107 is 1.

Also check out the Least Common Multiple of 73100 and 73107