What is the Greatest Common Factor of 20049 and 20056?

Greatest common factor (GCF) of 20049 and 20056 is 1.

GCF(20049,20056) = 1

We will now calculate the prime factors of 20049 and 20056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20049 and 20056.

How to find the GCF of 20049 and 20056?

We will first find the prime factorization of 20049 and 20056. After we will calculate the factors of 20049 and 20056 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20056

Prime factors of 20056 are 2, 23, 109. Prime factorization of 20056 in exponential form is:

20056 = 2³ × 23¹ × 109¹

Step-3: Factors of 20049

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

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

Step-4: Factors of 20056

List of positive integer factors of 20056 that divides 20049 without a remainder.

1, 2, 4, 8, 23, 46, 92, 109, 184, 218, 436, 872, 2507, 5014, 10028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20049 and 20056. The biggest common factor number is the GCF number.
So the greatest common factor 20049 and 20056 is 1.

Also check out the Least Common Multiple of 20049 and 20056