What is the Greatest Common Factor of 19452 and 19458?

Greatest common factor (GCF) of 19452 and 19458 is 6.

GCF(19452,19458) = 6

We will now calculate the prime factors of 19452 and 19458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19452 and 19458.

How to find the GCF of 19452 and 19458?

We will first find the prime factorization of 19452 and 19458. After we will calculate the factors of 19452 and 19458 and find the biggest common factor number .

Step-1: Prime Factorization of 19452

Prime factors of 19452 are 2, 3, 1621. Prime factorization of 19452 in exponential form is:

19452 = 2² × 3¹ × 1621¹

Step-2: Prime Factorization of 19458

Prime factors of 19458 are 2, 3, 23, 47. Prime factorization of 19458 in exponential form is:

19458 = 2¹ × 3² × 23¹ × 47¹

Step-3: Factors of 19452

List of positive integer factors of 19452 that divides 19452 without a remainder.

1, 2, 3, 4, 6, 12, 1621, 3242, 4863, 6484, 9726

Step-4: Factors of 19458

List of positive integer factors of 19458 that divides 19452 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 47, 69, 94, 138, 141, 207, 282, 414, 423, 846, 1081, 2162, 3243, 6486, 9729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19452 and 19458. The biggest common factor number is the GCF number.
So the greatest common factor 19452 and 19458 is 6.

Also check out the Least Common Multiple of 19452 and 19458