What is the Greatest Common Factor of 20278 and 20298?

Greatest common factor (GCF) of 20278 and 20298 is 2.

GCF(20278,20298) = 2

We will now calculate the prime factors of 20278 and 20298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20278 and 20298.

How to find the GCF of 20278 and 20298?

We will first find the prime factorization of 20278 and 20298. After we will calculate the factors of 20278 and 20298 and find the biggest common factor number .

Step-1: Prime Factorization of 20278

Prime factors of 20278 are 2, 10139. Prime factorization of 20278 in exponential form is:

20278 = 2¹ × 10139¹

Step-2: Prime Factorization of 20298

Prime factors of 20298 are 2, 3, 17, 199. Prime factorization of 20298 in exponential form is:

20298 = 2¹ × 3¹ × 17¹ × 199¹

Step-3: Factors of 20278

List of positive integer factors of 20278 that divides 20278 without a remainder.

1, 2, 10139

Step-4: Factors of 20298

List of positive integer factors of 20298 that divides 20278 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 199, 398, 597, 1194, 3383, 6766, 10149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20278 and 20298. The biggest common factor number is the GCF number.
So the greatest common factor 20278 and 20298 is 2.

Also check out the Least Common Multiple of 20278 and 20298