What is the Greatest Common Factor of 19746 and 19752?

Greatest common factor (GCF) of 19746 and 19752 is 6.

GCF(19746,19752) = 6

We will now calculate the prime factors of 19746 and 19752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19746 and 19752.

How to find the GCF of 19746 and 19752?

We will first find the prime factorization of 19746 and 19752. After we will calculate the factors of 19746 and 19752 and find the biggest common factor number .

Step-1: Prime Factorization of 19746

Prime factors of 19746 are 2, 3, 1097. Prime factorization of 19746 in exponential form is:

19746 = 2¹ × 3² × 1097¹

Step-2: Prime Factorization of 19752

Prime factors of 19752 are 2, 3, 823. Prime factorization of 19752 in exponential form is:

19752 = 2³ × 3¹ × 823¹

Step-3: Factors of 19746

List of positive integer factors of 19746 that divides 19746 without a remainder.

1, 2, 3, 6, 9, 18, 1097, 2194, 3291, 6582, 9873

Step-4: Factors of 19752

List of positive integer factors of 19752 that divides 19746 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 823, 1646, 2469, 3292, 4938, 6584, 9876

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19746 and 19752. The biggest common factor number is the GCF number.
So the greatest common factor 19746 and 19752 is 6.

Also check out the Least Common Multiple of 19746 and 19752