What is the Greatest Common Factor of 20038 and 20050?

Greatest common factor (GCF) of 20038 and 20050 is 2.

GCF(20038,20050) = 2

We will now calculate the prime factors of 20038 and 20050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20038 and 20050.

How to find the GCF of 20038 and 20050?

We will first find the prime factorization of 20038 and 20050. After we will calculate the factors of 20038 and 20050 and find the biggest common factor number .

Step-1: Prime Factorization of 20038

Prime factors of 20038 are 2, 43, 233. Prime factorization of 20038 in exponential form is:

20038 = 2¹ × 43¹ × 233¹

Step-2: Prime Factorization of 20050

Prime factors of 20050 are 2, 5, 401. Prime factorization of 20050 in exponential form is:

20050 = 2¹ × 5² × 401¹

Step-3: Factors of 20038

List of positive integer factors of 20038 that divides 20038 without a remainder.

1, 2, 43, 86, 233, 466, 10019

Step-4: Factors of 20050

List of positive integer factors of 20050 that divides 20038 without a remainder.

1, 2, 5, 10, 25, 50, 401, 802, 2005, 4010, 10025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20038 and 20050. The biggest common factor number is the GCF number.
So the greatest common factor 20038 and 20050 is 2.

Also check out the Least Common Multiple of 20038 and 20050