What is the Greatest Common Factor of 19564 and 19574?

Greatest common factor (GCF) of 19564 and 19574 is 2.

GCF(19564,19574) = 2

We will now calculate the prime factors of 19564 and 19574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19564 and 19574.

How to find the GCF of 19564 and 19574?

We will first find the prime factorization of 19564 and 19574. After we will calculate the factors of 19564 and 19574 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19574

Prime factors of 19574 are 2, 9787. Prime factorization of 19574 in exponential form is:

19574 = 2¹ × 9787¹

Step-3: Factors of 19564

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

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

Step-4: Factors of 19574

List of positive integer factors of 19574 that divides 19564 without a remainder.

1, 2, 9787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19564 and 19574. The biggest common factor number is the GCF number.
So the greatest common factor 19564 and 19574 is 2.

Also check out the Least Common Multiple of 19564 and 19574