What is the Greatest Common Factor of 75010 and 75023?

Greatest common factor (GCF) of 75010 and 75023 is 13.

GCF(75010,75023) = 13

We will now calculate the prime factors of 75010 and 75023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75010 and 75023.

How to find the GCF of 75010 and 75023?

We will first find the prime factorization of 75010 and 75023. After we will calculate the factors of 75010 and 75023 and find the biggest common factor number .

Step-1: Prime Factorization of 75010

Prime factors of 75010 are 2, 5, 13, 577. Prime factorization of 75010 in exponential form is:

75010 = 2¹ × 5¹ × 13¹ × 577¹

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 75010

List of positive integer factors of 75010 that divides 75010 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 577, 1154, 2885, 5770, 7501, 15002, 37505

Step-4: Factors of 75023

List of positive integer factors of 75023 that divides 75010 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75010 and 75023. The biggest common factor number is the GCF number.
So the greatest common factor 75010 and 75023 is 13.

Also check out the Least Common Multiple of 75010 and 75023