What is the Greatest Common Factor of 19554 and 19564?

Greatest common factor (GCF) of 19554 and 19564 is 2.

GCF(19554,19564) = 2

We will now calculate the prime factors of 19554 and 19564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19554 and 19564.

How to find the GCF of 19554 and 19564?

We will first find the prime factorization of 19554 and 19564. After we will calculate the factors of 19554 and 19564 and find the biggest common factor number .

Step-1: Prime Factorization of 19554

Prime factors of 19554 are 2, 3, 3259. Prime factorization of 19554 in exponential form is:

19554 = 2¹ × 3¹ × 3259¹

Step-2: Prime Factorization of 19564

Prime factors of 19564 are 2, 67, 73. Prime factorization of 19564 in exponential form is:

19564 = 2² × 67¹ × 73¹

Step-3: Factors of 19554

List of positive integer factors of 19554 that divides 19554 without a remainder.

1, 2, 3, 6, 3259, 6518, 9777

Step-4: Factors of 19564

List of positive integer factors of 19564 that divides 19554 without a remainder.

1, 2, 4, 67, 73, 134, 146, 268, 292, 4891, 9782

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19554 and 19564. The biggest common factor number is the GCF number.
So the greatest common factor 19554 and 19564 is 2.

Also check out the Least Common Multiple of 19554 and 19564