What is the Greatest Common Factor of 20142 and 20154?

Greatest common factor (GCF) of 20142 and 20154 is 6.

GCF(20142,20154) = 6

We will now calculate the prime factors of 20142 and 20154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20142 and 20154.

How to find the GCF of 20142 and 20154?

We will first find the prime factorization of 20142 and 20154. After we will calculate the factors of 20142 and 20154 and find the biggest common factor number .

Step-1: Prime Factorization of 20142

Prime factors of 20142 are 2, 3, 373. Prime factorization of 20142 in exponential form is:

20142 = 2¹ × 3³ × 373¹

Step-2: Prime Factorization of 20154

Prime factors of 20154 are 2, 3, 3359. Prime factorization of 20154 in exponential form is:

20154 = 2¹ × 3¹ × 3359¹

Step-3: Factors of 20142

List of positive integer factors of 20142 that divides 20142 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 373, 746, 1119, 2238, 3357, 6714, 10071

Step-4: Factors of 20154

List of positive integer factors of 20154 that divides 20142 without a remainder.

1, 2, 3, 6, 3359, 6718, 10077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20142 and 20154. The biggest common factor number is the GCF number.
So the greatest common factor 20142 and 20154 is 6.

Also check out the Least Common Multiple of 20142 and 20154