What is the Greatest Common Factor of 19782 and 19802?

Greatest common factor (GCF) of 19782 and 19802 is 2.

GCF(19782,19802) = 2

We will now calculate the prime factors of 19782 and 19802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19782 and 19802.

How to find the GCF of 19782 and 19802?

We will first find the prime factorization of 19782 and 19802. After we will calculate the factors of 19782 and 19802 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 19802

Prime factors of 19802 are 2, 9901. Prime factorization of 19802 in exponential form is:

19802 = 2¹ × 9901¹

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 19802

List of positive integer factors of 19802 that divides 19782 without a remainder.

1, 2, 9901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19782 and 19802. The biggest common factor number is the GCF number.
So the greatest common factor 19782 and 19802 is 2.

Also check out the Least Common Multiple of 19782 and 19802