What is the Greatest Common Factor of 20083 and 20102?

Greatest common factor (GCF) of 20083 and 20102 is 19.

GCF(20083,20102) = 19

We will now calculate the prime factors of 20083 and 20102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20083 and 20102.

How to find the GCF of 20083 and 20102?

We will first find the prime factorization of 20083 and 20102. After we will calculate the factors of 20083 and 20102 and find the biggest common factor number .

Step-1: Prime Factorization of 20083

Prime factors of 20083 are 7, 19, 151. Prime factorization of 20083 in exponential form is:

20083 = 7¹ × 19¹ × 151¹

Step-2: Prime Factorization of 20102

Prime factors of 20102 are 2, 19, 23. Prime factorization of 20102 in exponential form is:

20102 = 2¹ × 19¹ × 23²

Step-3: Factors of 20083

List of positive integer factors of 20083 that divides 20083 without a remainder.

1, 7, 19, 133, 151, 1057, 2869

Step-4: Factors of 20102

List of positive integer factors of 20102 that divides 20083 without a remainder.

1, 2, 19, 23, 38, 46, 437, 529, 874, 1058, 10051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20083 and 20102. The biggest common factor number is the GCF number.
So the greatest common factor 20083 and 20102 is 19.

Also check out the Least Common Multiple of 20083 and 20102