What is the Greatest Common Factor of 20402 and 20406?

Greatest common factor (GCF) of 20402 and 20406 is 2.

GCF(20402,20406) = 2

We will now calculate the prime factors of 20402 and 20406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20402 and 20406.

How to find the GCF of 20402 and 20406?

We will first find the prime factorization of 20402 and 20406. After we will calculate the factors of 20402 and 20406 and find the biggest common factor number .

Step-1: Prime Factorization of 20402

Prime factors of 20402 are 2, 101. Prime factorization of 20402 in exponential form is:

20402 = 2¹ × 101²

Step-2: Prime Factorization of 20406

Prime factors of 20406 are 2, 3, 19, 179. Prime factorization of 20406 in exponential form is:

20406 = 2¹ × 3¹ × 19¹ × 179¹

Step-3: Factors of 20402

List of positive integer factors of 20402 that divides 20402 without a remainder.

1, 2, 101, 202, 10201

Step-4: Factors of 20406

List of positive integer factors of 20406 that divides 20402 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 179, 358, 537, 1074, 3401, 6802, 10203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20402 and 20406. The biggest common factor number is the GCF number.
So the greatest common factor 20402 and 20406 is 2.

Also check out the Least Common Multiple of 20402 and 20406