What is the Greatest Common Factor of 19786 and 19804?

Greatest common factor (GCF) of 19786 and 19804 is 2.

GCF(19786,19804) = 2

We will now calculate the prime factors of 19786 and 19804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19786 and 19804.

How to find the GCF of 19786 and 19804?

We will first find the prime factorization of 19786 and 19804. After we will calculate the factors of 19786 and 19804 and find the biggest common factor number .

Step-1: Prime Factorization of 19786

Prime factors of 19786 are 2, 13, 761. Prime factorization of 19786 in exponential form is:

19786 = 2¹ × 13¹ × 761¹

Step-2: Prime Factorization of 19804

Prime factors of 19804 are 2, 4951. Prime factorization of 19804 in exponential form is:

19804 = 2² × 4951¹

Step-3: Factors of 19786

List of positive integer factors of 19786 that divides 19786 without a remainder.

1, 2, 13, 26, 761, 1522, 9893

Step-4: Factors of 19804

List of positive integer factors of 19804 that divides 19786 without a remainder.

1, 2, 4, 4951, 9902

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19786 and 19804. The biggest common factor number is the GCF number.
So the greatest common factor 19786 and 19804 is 2.

Also check out the Least Common Multiple of 19786 and 19804