What is the Greatest Common Factor of 34542 and 34561?

Greatest common factor (GCF) of 34542 and 34561 is 19.

GCF(34542,34561) = 19

We will now calculate the prime factors of 34542 and 34561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34542 and 34561.

How to find the GCF of 34542 and 34561?

We will first find the prime factorization of 34542 and 34561. After we will calculate the factors of 34542 and 34561 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34561

Prime factors of 34561 are 17, 19, 107. Prime factorization of 34561 in exponential form is:

34561 = 17¹ × 19¹ × 107¹

Step-3: Factors of 34542

List of positive integer factors of 34542 that divides 34542 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

Step-4: Factors of 34561

List of positive integer factors of 34561 that divides 34542 without a remainder.

1, 17, 19, 107, 323, 1819, 2033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34542 and 34561. The biggest common factor number is the GCF number.
So the greatest common factor 34542 and 34561 is 19.

Also check out the Least Common Multiple of 34542 and 34561