What is the Greatest Common Factor of 75021 and 75038?

Greatest common factor (GCF) of 75021 and 75038 is 17.

GCF(75021,75038) = 17

We will now calculate the prime factors of 75021 and 75038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75021 and 75038.

How to find the GCF of 75021 and 75038?

We will first find the prime factorization of 75021 and 75038. After we will calculate the factors of 75021 and 75038 and find the biggest common factor number .

Step-1: Prime Factorization of 75021

Prime factors of 75021 are 3, 17, 1471. Prime factorization of 75021 in exponential form is:

75021 = 3¹ × 17¹ × 1471¹

Step-2: Prime Factorization of 75038

Prime factors of 75038 are 2, 17, 2207. Prime factorization of 75038 in exponential form is:

75038 = 2¹ × 17¹ × 2207¹

Step-3: Factors of 75021

List of positive integer factors of 75021 that divides 75021 without a remainder.

1, 3, 17, 51, 1471, 4413, 25007

Step-4: Factors of 75038

List of positive integer factors of 75038 that divides 75021 without a remainder.

1, 2, 17, 34, 2207, 4414, 37519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75021 and 75038. The biggest common factor number is the GCF number.
So the greatest common factor 75021 and 75038 is 17.

Also check out the Least Common Multiple of 75021 and 75038