What is the Greatest Common Factor of 81100 and 81104?

Greatest common factor (GCF) of 81100 and 81104 is 4.

GCF(81100,81104) = 4

We will now calculate the prime factors of 81100 and 81104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81100 and 81104.

How to find the GCF of 81100 and 81104?

We will first find the prime factorization of 81100 and 81104. After we will calculate the factors of 81100 and 81104 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 81104

Prime factors of 81104 are 2, 37, 137. Prime factorization of 81104 in exponential form is:

81104 = 2⁴ × 37¹ × 137¹

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 81104

List of positive integer factors of 81104 that divides 81100 without a remainder.

1, 2, 4, 8, 16, 37, 74, 137, 148, 274, 296, 548, 592, 1096, 2192, 5069, 10138, 20276, 40552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81100 and 81104. The biggest common factor number is the GCF number.
So the greatest common factor 81100 and 81104 is 4.

Also check out the Least Common Multiple of 81100 and 81104