What is the Greatest Common Factor of 34524 and 34542?

Greatest common factor (GCF) of 34524 and 34542 is 18.

GCF(34524,34542) = 18

We will now calculate the prime factors of 34524 and 34542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34524 and 34542.

How to find the GCF of 34524 and 34542?

We will first find the prime factorization of 34524 and 34542. After we will calculate the factors of 34524 and 34542 and find the biggest common factor number .

Step-1: Prime Factorization of 34524

Prime factors of 34524 are 2, 3, 7, 137. Prime factorization of 34524 in exponential form is:

34524 = 2² × 3² × 7¹ × 137¹

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 34524

List of positive integer factors of 34524 that divides 34524 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 137, 252, 274, 411, 548, 822, 959, 1233, 1644, 1918, 2466, 2877, 3836, 4932, 5754, 8631, 11508, 17262

Step-4: Factors of 34542

List of positive integer factors of 34542 that divides 34524 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 34524 and 34542. The biggest common factor number is the GCF number.
So the greatest common factor 34524 and 34542 is 18.

Also check out the Least Common Multiple of 34524 and 34542