What is the Greatest Common Factor of 19624 and 19644?

Greatest common factor (GCF) of 19624 and 19644 is 4.

GCF(19624,19644) = 4

We will now calculate the prime factors of 19624 and 19644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19624 and 19644.

How to find the GCF of 19624 and 19644?

We will first find the prime factorization of 19624 and 19644. After we will calculate the factors of 19624 and 19644 and find the biggest common factor number .

Step-1: Prime Factorization of 19624

Prime factors of 19624 are 2, 11, 223. Prime factorization of 19624 in exponential form is:

19624 = 2³ × 11¹ × 223¹

Step-2: Prime Factorization of 19644

Prime factors of 19644 are 2, 3, 1637. Prime factorization of 19644 in exponential form is:

19644 = 2² × 3¹ × 1637¹

Step-3: Factors of 19624

List of positive integer factors of 19624 that divides 19624 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 223, 446, 892, 1784, 2453, 4906, 9812

Step-4: Factors of 19644

List of positive integer factors of 19644 that divides 19624 without a remainder.

1, 2, 3, 4, 6, 12, 1637, 3274, 4911, 6548, 9822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19624 and 19644. The biggest common factor number is the GCF number.
So the greatest common factor 19624 and 19644 is 4.

Also check out the Least Common Multiple of 19624 and 19644