What is the Greatest Common Factor of 19782 and 19789?

Greatest common factor (GCF) of 19782 and 19789 is 7.

GCF(19782,19789) = 7

We will now calculate the prime factors of 19782 and 19789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19782 and 19789.

How to find the GCF of 19782 and 19789?

We will first find the prime factorization of 19782 and 19789. After we will calculate the factors of 19782 and 19789 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19789

Prime factors of 19789 are 7, 11, 257. Prime factorization of 19789 in exponential form is:

19789 = 7¹ × 11¹ × 257¹

Step-3: Factors of 19782

List of positive integer factors of 19782 that divides 19782 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

Step-4: Factors of 19789

List of positive integer factors of 19789 that divides 19782 without a remainder.

1, 7, 11, 77, 257, 1799, 2827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19782 and 19789. The biggest common factor number is the GCF number.
So the greatest common factor 19782 and 19789 is 7.

Also check out the Least Common Multiple of 19782 and 19789