What is the Greatest Common Factor of 75004 and 75017?

Greatest common factor (GCF) of 75004 and 75017 is 1.

GCF(75004,75017) = 1

We will now calculate the prime factors of 75004 and 75017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75004 and 75017.

How to find the GCF of 75004 and 75017?

We will first find the prime factorization of 75004 and 75017. After we will calculate the factors of 75004 and 75017 and find the biggest common factor number .

Step-1: Prime Factorization of 75004

Prime factors of 75004 are 2, 17, 1103. Prime factorization of 75004 in exponential form is:

75004 = 2² × 17¹ × 1103¹

Step-2: Prime Factorization of 75017

Prime factors of 75017 are 75017. Prime factorization of 75017 in exponential form is:

75017 = 75017¹

Step-3: Factors of 75004

List of positive integer factors of 75004 that divides 75004 without a remainder.

1, 2, 4, 17, 34, 68, 1103, 2206, 4412, 18751, 37502

Step-4: Factors of 75017

List of positive integer factors of 75017 that divides 75004 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75004 and 75017. The biggest common factor number is the GCF number.
So the greatest common factor 75004 and 75017 is 1.

Also check out the Least Common Multiple of 75004 and 75017