What is the Greatest Common Factor of 34538 and 34542?

Greatest common factor (GCF) of 34538 and 34542 is 2.

GCF(34538,34542) = 2

We will now calculate the prime factors of 34538 and 34542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34538 and 34542.

How to find the GCF of 34538 and 34542?

We will first find the prime factorization of 34538 and 34542. After we will calculate the factors of 34538 and 34542 and find the biggest common factor number .

Step-1: Prime Factorization of 34538

Prime factors of 34538 are 2, 7, 2467. Prime factorization of 34538 in exponential form is:

34538 = 2¹ × 7¹ × 2467¹

Step-2: Prime Factorization of 34542

Prime factors of 34542 are 2, 3, 19, 101. Prime factorization of 34542 in exponential form is:

34542 = 2¹ × 3² × 19¹ × 101¹

Step-3: Factors of 34538

List of positive integer factors of 34538 that divides 34538 without a remainder.

1, 2, 7, 14, 2467, 4934, 17269

Step-4: Factors of 34542

List of positive integer factors of 34542 that divides 34538 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 101, 114, 171, 202, 303, 342, 606, 909, 1818, 1919, 3838, 5757, 11514, 17271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34538 and 34542. The biggest common factor number is the GCF number.
So the greatest common factor 34538 and 34542 is 2.

Also check out the Least Common Multiple of 34538 and 34542