What is the Greatest Common Factor of 30538 and 30542?

Greatest common factor (GCF) of 30538 and 30542 is 2.

GCF(30538,30542) = 2

We will now calculate the prime factors of 30538 and 30542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30538 and 30542.

How to find the GCF of 30538 and 30542?

We will first find the prime factorization of 30538 and 30542. After we will calculate the factors of 30538 and 30542 and find the biggest common factor number .

Step-1: Prime Factorization of 30538

Prime factors of 30538 are 2, 15269. Prime factorization of 30538 in exponential form is:

30538 = 2¹ × 15269¹

Step-2: Prime Factorization of 30542

Prime factors of 30542 are 2, 15271. Prime factorization of 30542 in exponential form is:

30542 = 2¹ × 15271¹

Step-3: Factors of 30538

List of positive integer factors of 30538 that divides 30538 without a remainder.

1, 2, 15269

Step-4: Factors of 30542

List of positive integer factors of 30542 that divides 30538 without a remainder.

1, 2, 15271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30538 and 30542. The biggest common factor number is the GCF number.
So the greatest common factor 30538 and 30542 is 2.

Also check out the Least Common Multiple of 30538 and 30542