What is the Greatest Common Factor of 75106 and 75123?

Greatest common factor (GCF) of 75106 and 75123 is 17.

GCF(75106,75123) = 17

We will now calculate the prime factors of 75106 and 75123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75106 and 75123.

How to find the GCF of 75106 and 75123?

We will first find the prime factorization of 75106 and 75123. After we will calculate the factors of 75106 and 75123 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75123

Prime factors of 75123 are 3, 17, 491. Prime factorization of 75123 in exponential form is:

75123 = 3² × 17¹ × 491¹

Step-3: Factors of 75106

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

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

Step-4: Factors of 75123

List of positive integer factors of 75123 that divides 75106 without a remainder.

1, 3, 9, 17, 51, 153, 491, 1473, 4419, 8347, 25041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75106 and 75123. The biggest common factor number is the GCF number.
So the greatest common factor 75106 and 75123 is 17.

Also check out the Least Common Multiple of 75106 and 75123