What is the Greatest Common Factor of 19452 and 19464?

Greatest common factor (GCF) of 19452 and 19464 is 12.

GCF(19452,19464) = 12

We will now calculate the prime factors of 19452 and 19464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19452 and 19464.

How to find the GCF of 19452 and 19464?

We will first find the prime factorization of 19452 and 19464. After we will calculate the factors of 19452 and 19464 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 19464

Prime factors of 19464 are 2, 3, 811. Prime factorization of 19464 in exponential form is:

19464 = 2³ × 3¹ × 811¹

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 19464

List of positive integer factors of 19464 that divides 19452 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 811, 1622, 2433, 3244, 4866, 6488, 9732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19452 and 19464. The biggest common factor number is the GCF number.
So the greatest common factor 19452 and 19464 is 12.

Also check out the Least Common Multiple of 19452 and 19464