What is the Greatest Common Factor of 19766 and 19782?

Greatest common factor (GCF) of 19766 and 19782 is 2.

GCF(19766,19782) = 2

We will now calculate the prime factors of 19766 and 19782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19766 and 19782.

How to find the GCF of 19766 and 19782?

We will first find the prime factorization of 19766 and 19782. After we will calculate the factors of 19766 and 19782 and find the biggest common factor number .

Step-1: Prime Factorization of 19766

Prime factors of 19766 are 2, 9883. Prime factorization of 19766 in exponential form is:

19766 = 2¹ × 9883¹

Step-2: Prime Factorization of 19782

Prime factors of 19782 are 2, 3, 7, 157. Prime factorization of 19782 in exponential form is:

19782 = 2¹ × 3² × 7¹ × 157¹

Step-3: Factors of 19766

List of positive integer factors of 19766 that divides 19766 without a remainder.

1, 2, 9883

Step-4: Factors of 19782

List of positive integer factors of 19782 that divides 19766 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 157, 314, 471, 942, 1099, 1413, 2198, 2826, 3297, 6594, 9891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19766 and 19782. The biggest common factor number is the GCF number.
So the greatest common factor 19766 and 19782 is 2.

Also check out the Least Common Multiple of 19766 and 19782