What is the Greatest Common Factor of 19874 and 19883?

Greatest common factor (GCF) of 19874 and 19883 is 1.

GCF(19874,19883) = 1

We will now calculate the prime factors of 19874 and 19883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19874 and 19883.

How to find the GCF of 19874 and 19883?

We will first find the prime factorization of 19874 and 19883. After we will calculate the factors of 19874 and 19883 and find the biggest common factor number .

Step-1: Prime Factorization of 19874

Prime factors of 19874 are 2, 19, 523. Prime factorization of 19874 in exponential form is:

19874 = 2¹ × 19¹ × 523¹

Step-2: Prime Factorization of 19883

Prime factors of 19883 are 59, 337. Prime factorization of 19883 in exponential form is:

19883 = 59¹ × 337¹

Step-3: Factors of 19874

List of positive integer factors of 19874 that divides 19874 without a remainder.

1, 2, 19, 38, 523, 1046, 9937

Step-4: Factors of 19883

List of positive integer factors of 19883 that divides 19874 without a remainder.

1, 59, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19874 and 19883. The biggest common factor number is the GCF number.
So the greatest common factor 19874 and 19883 is 1.

Also check out the Least Common Multiple of 19874 and 19883