What is the Greatest Common Factor of 81094 and 81107?

Greatest common factor (GCF) of 81094 and 81107 is 13.

GCF(81094,81107) = 13

We will now calculate the prime factors of 81094 and 81107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81094 and 81107.

How to find the GCF of 81094 and 81107?

We will first find the prime factorization of 81094 and 81107. After we will calculate the factors of 81094 and 81107 and find the biggest common factor number .

Step-1: Prime Factorization of 81094

Prime factors of 81094 are 2, 13, 3119. Prime factorization of 81094 in exponential form is:

81094 = 2¹ × 13¹ × 3119¹

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 81094

List of positive integer factors of 81094 that divides 81094 without a remainder.

1, 2, 13, 26, 3119, 6238, 40547

Step-4: Factors of 81107

List of positive integer factors of 81107 that divides 81094 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81094 and 81107. The biggest common factor number is the GCF number.
So the greatest common factor 81094 and 81107 is 13.

Also check out the Least Common Multiple of 81094 and 81107