What is the Greatest Common Factor of 81104 and 81116?

Greatest common factor (GCF) of 81104 and 81116 is 4.

GCF(81104,81116) = 4

We will now calculate the prime factors of 81104 and 81116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81104 and 81116.

How to find the GCF of 81104 and 81116?

We will first find the prime factorization of 81104 and 81116. After we will calculate the factors of 81104 and 81116 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81116

Prime factors of 81116 are 2, 7, 2897. Prime factorization of 81116 in exponential form is:

81116 = 2² × 7¹ × 2897¹

Step-3: Factors of 81104

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

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

Step-4: Factors of 81116

List of positive integer factors of 81116 that divides 81104 without a remainder.

1, 2, 4, 7, 14, 28, 2897, 5794, 11588, 20279, 40558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81104 and 81116. The biggest common factor number is the GCF number.
So the greatest common factor 81104 and 81116 is 4.

Also check out the Least Common Multiple of 81104 and 81116