What is the Greatest Common Factor of 75004 and 75023?

Greatest common factor (GCF) of 75004 and 75023 is 1.

GCF(75004,75023) = 1

We will now calculate the prime factors of 75004 and 75023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75004 and 75023.

How to find the GCF of 75004 and 75023?

We will first find the prime factorization of 75004 and 75023. After we will calculate the factors of 75004 and 75023 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 75023

Prime factors of 75023 are 13, 29, 199. Prime factorization of 75023 in exponential form is:

75023 = 13¹ × 29¹ × 199¹

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 75023

List of positive integer factors of 75023 that divides 75004 without a remainder.

1, 13, 29, 199, 377, 2587, 5771

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75004 and 75023. The biggest common factor number is the GCF number.
So the greatest common factor 75004 and 75023 is 1.

Also check out the Least Common Multiple of 75004 and 75023