What is the Greatest Common Factor of 20030 and 20050?

Greatest common factor (GCF) of 20030 and 20050 is 10.

GCF(20030,20050) = 10

We will now calculate the prime factors of 20030 and 20050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20030 and 20050.

How to find the GCF of 20030 and 20050?

We will first find the prime factorization of 20030 and 20050. After we will calculate the factors of 20030 and 20050 and find the biggest common factor number .

Step-1: Prime Factorization of 20030

Prime factors of 20030 are 2, 5, 2003. Prime factorization of 20030 in exponential form is:

20030 = 2¹ × 5¹ × 2003¹

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 20030

List of positive integer factors of 20030 that divides 20030 without a remainder.

1, 2, 5, 10, 2003, 4006, 10015

Step-4: Factors of 20050

List of positive integer factors of 20050 that divides 20030 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 20030 and 20050. The biggest common factor number is the GCF number.
So the greatest common factor 20030 and 20050 is 10.

Also check out the Least Common Multiple of 20030 and 20050