What is the Greatest Common Factor of 81170 and 81175?

Greatest common factor (GCF) of 81170 and 81175 is 5.

GCF(81170,81175) = 5

We will now calculate the prime factors of 81170 and 81175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81170 and 81175.

How to find the GCF of 81170 and 81175?

We will first find the prime factorization of 81170 and 81175. After we will calculate the factors of 81170 and 81175 and find the biggest common factor number .

Step-1: Prime Factorization of 81170

Prime factors of 81170 are 2, 5, 8117. Prime factorization of 81170 in exponential form is:

81170 = 2¹ × 5¹ × 8117¹

Step-2: Prime Factorization of 81175

Prime factors of 81175 are 5, 17, 191. Prime factorization of 81175 in exponential form is:

81175 = 5² × 17¹ × 191¹

Step-3: Factors of 81170

List of positive integer factors of 81170 that divides 81170 without a remainder.

1, 2, 5, 10, 8117, 16234, 40585

Step-4: Factors of 81175

List of positive integer factors of 81175 that divides 81170 without a remainder.

1, 5, 17, 25, 85, 191, 425, 955, 3247, 4775, 16235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81170 and 81175. The biggest common factor number is the GCF number.
So the greatest common factor 81170 and 81175 is 5.

Also check out the Least Common Multiple of 81170 and 81175