What is the Greatest Common Factor of 38142 and 38154?

Greatest common factor (GCF) of 38142 and 38154 is 6.

GCF(38142,38154) = 6

We will now calculate the prime factors of 38142 and 38154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38142 and 38154.

How to find the GCF of 38142 and 38154?

We will first find the prime factorization of 38142 and 38154. After we will calculate the factors of 38142 and 38154 and find the biggest common factor number .

Step-1: Prime Factorization of 38142

Prime factors of 38142 are 2, 3, 13, 163. Prime factorization of 38142 in exponential form is:

38142 = 2¹ × 3² × 13¹ × 163¹

Step-2: Prime Factorization of 38154

Prime factors of 38154 are 2, 3, 6359. Prime factorization of 38154 in exponential form is:

38154 = 2¹ × 3¹ × 6359¹

Step-3: Factors of 38142

List of positive integer factors of 38142 that divides 38142 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 163, 234, 326, 489, 978, 1467, 2119, 2934, 4238, 6357, 12714, 19071

Step-4: Factors of 38154

List of positive integer factors of 38154 that divides 38142 without a remainder.

1, 2, 3, 6, 6359, 12718, 19077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38142 and 38154. The biggest common factor number is the GCF number.
So the greatest common factor 38142 and 38154 is 6.

Also check out the Least Common Multiple of 38142 and 38154