What is the Greatest Common Factor of 20264 and 20283?

Greatest common factor (GCF) of 20264 and 20283 is 1.

GCF(20264,20283) = 1

We will now calculate the prime factors of 20264 and 20283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20264 and 20283.

How to find the GCF of 20264 and 20283?

We will first find the prime factorization of 20264 and 20283. After we will calculate the factors of 20264 and 20283 and find the biggest common factor number .

Step-1: Prime Factorization of 20264

Prime factors of 20264 are 2, 17, 149. Prime factorization of 20264 in exponential form is:

20264 = 2³ × 17¹ × 149¹

Step-2: Prime Factorization of 20283

Prime factors of 20283 are 3, 6761. Prime factorization of 20283 in exponential form is:

20283 = 3¹ × 6761¹

Step-3: Factors of 20264

List of positive integer factors of 20264 that divides 20264 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 149, 298, 596, 1192, 2533, 5066, 10132

Step-4: Factors of 20283

List of positive integer factors of 20283 that divides 20264 without a remainder.

1, 3, 6761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20264 and 20283. The biggest common factor number is the GCF number.
So the greatest common factor 20264 and 20283 is 1.

Also check out the Least Common Multiple of 20264 and 20283