What is the Greatest Common Factor of 20032 and 20049?

Greatest common factor (GCF) of 20032 and 20049 is 1.

GCF(20032,20049) = 1

We will now calculate the prime factors of 20032 and 20049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20032 and 20049.

How to find the GCF of 20032 and 20049?

We will first find the prime factorization of 20032 and 20049. After we will calculate the factors of 20032 and 20049 and find the biggest common factor number .

Step-1: Prime Factorization of 20032

Prime factors of 20032 are 2, 313. Prime factorization of 20032 in exponential form is:

20032 = 2⁶ × 313¹

Step-2: Prime Factorization of 20049

Prime factors of 20049 are 3, 41, 163. Prime factorization of 20049 in exponential form is:

20049 = 3¹ × 41¹ × 163¹

Step-3: Factors of 20032

List of positive integer factors of 20032 that divides 20032 without a remainder.

1, 2, 4, 8, 16, 32, 64, 313, 626, 1252, 2504, 5008, 10016

Step-4: Factors of 20049

List of positive integer factors of 20049 that divides 20032 without a remainder.

1, 3, 41, 123, 163, 489, 6683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20032 and 20049. The biggest common factor number is the GCF number.
So the greatest common factor 20032 and 20049 is 1.

Also check out the Least Common Multiple of 20032 and 20049