What is the Greatest Common Factor of 75230 and 75238?

Greatest common factor (GCF) of 75230 and 75238 is 2.

GCF(75230,75238) = 2

We will now calculate the prime factors of 75230 and 75238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75230 and 75238.

How to find the GCF of 75230 and 75238?

We will first find the prime factorization of 75230 and 75238. After we will calculate the factors of 75230 and 75238 and find the biggest common factor number .

Step-1: Prime Factorization of 75230

Prime factors of 75230 are 2, 5, 7523. Prime factorization of 75230 in exponential form is:

75230 = 2¹ × 5¹ × 7523¹

Step-2: Prime Factorization of 75238

Prime factors of 75238 are 2, 37619. Prime factorization of 75238 in exponential form is:

75238 = 2¹ × 37619¹

Step-3: Factors of 75230

List of positive integer factors of 75230 that divides 75230 without a remainder.

1, 2, 5, 10, 7523, 15046, 37615

Step-4: Factors of 75238

List of positive integer factors of 75238 that divides 75230 without a remainder.

1, 2, 37619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75230 and 75238. The biggest common factor number is the GCF number.
So the greatest common factor 75230 and 75238 is 2.

Also check out the Least Common Multiple of 75230 and 75238