What is the Greatest Common Factor of 20139 and 20154?

Greatest common factor (GCF) of 20139 and 20154 is 3.

GCF(20139,20154) = 3

We will now calculate the prime factors of 20139 and 20154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20139 and 20154.

How to find the GCF of 20139 and 20154?

We will first find the prime factorization of 20139 and 20154. After we will calculate the factors of 20139 and 20154 and find the biggest common factor number .

Step-1: Prime Factorization of 20139

Prime factors of 20139 are 3, 7, 137. Prime factorization of 20139 in exponential form is:

20139 = 3¹ × 7² × 137¹

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 20139

List of positive integer factors of 20139 that divides 20139 without a remainder.

1, 3, 7, 21, 49, 137, 147, 411, 959, 2877, 6713

Step-4: Factors of 20154

List of positive integer factors of 20154 that divides 20139 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20139 and 20154. The biggest common factor number is the GCF number.
So the greatest common factor 20139 and 20154 is 3.

Also check out the Least Common Multiple of 20139 and 20154