What is the Greatest Common Factor of 81100 and 81107?

Greatest common factor (GCF) of 81100 and 81107 is 1.

GCF(81100,81107) = 1

We will now calculate the prime factors of 81100 and 81107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81100 and 81107.

How to find the GCF of 81100 and 81107?

We will first find the prime factorization of 81100 and 81107. After we will calculate the factors of 81100 and 81107 and find the biggest common factor number .

Step-1: Prime Factorization of 81100

Prime factors of 81100 are 2, 5, 811. Prime factorization of 81100 in exponential form is:

81100 = 2² × 5² × 811¹

Step-2: Prime Factorization of 81107

Prime factors of 81107 are 13, 17, 367. Prime factorization of 81107 in exponential form is:

81107 = 13¹ × 17¹ × 367¹

Step-3: Factors of 81100

List of positive integer factors of 81100 that divides 81100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 811, 1622, 3244, 4055, 8110, 16220, 20275, 40550

Step-4: Factors of 81107

List of positive integer factors of 81107 that divides 81100 without a remainder.

1, 13, 17, 221, 367, 4771, 6239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81100 and 81107. The biggest common factor number is the GCF number.
So the greatest common factor 81100 and 81107 is 1.

Also check out the Least Common Multiple of 81100 and 81107