What is the Greatest Common Factor of 75089 and 75106?

Greatest common factor (GCF) of 75089 and 75106 is 17.

GCF(75089,75106) = 17

We will now calculate the prime factors of 75089 and 75106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75089 and 75106.

How to find the GCF of 75089 and 75106?

We will first find the prime factorization of 75089 and 75106. After we will calculate the factors of 75089 and 75106 and find the biggest common factor number .

Step-1: Prime Factorization of 75089

Prime factors of 75089 are 7, 17, 631. Prime factorization of 75089 in exponential form is:

75089 = 7¹ × 17¹ × 631¹

Step-2: Prime Factorization of 75106

Prime factors of 75106 are 2, 17, 47. Prime factorization of 75106 in exponential form is:

75106 = 2¹ × 17¹ × 47²

Step-3: Factors of 75089

List of positive integer factors of 75089 that divides 75089 without a remainder.

1, 7, 17, 119, 631, 4417, 10727

Step-4: Factors of 75106

List of positive integer factors of 75106 that divides 75089 without a remainder.

1, 2, 17, 34, 47, 94, 799, 1598, 2209, 4418, 37553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75089 and 75106. The biggest common factor number is the GCF number.
So the greatest common factor 75089 and 75106 is 17.

Also check out the Least Common Multiple of 75089 and 75106