What is the Greatest Common Factor of 38127 and 38142?

Greatest common factor (GCF) of 38127 and 38142 is 3.

GCF(38127,38142) = 3

We will now calculate the prime factors of 38127 and 38142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38127 and 38142.

How to find the GCF of 38127 and 38142?

We will first find the prime factorization of 38127 and 38142. After we will calculate the factors of 38127 and 38142 and find the biggest common factor number .

Step-1: Prime Factorization of 38127

Prime factors of 38127 are 3, 71, 179. Prime factorization of 38127 in exponential form is:

38127 = 3¹ × 71¹ × 179¹

Step-2: 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-3: Factors of 38127

List of positive integer factors of 38127 that divides 38127 without a remainder.

1, 3, 71, 179, 213, 537, 12709

Step-4: Factors of 38142

List of positive integer factors of 38142 that divides 38127 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38127 and 38142. The biggest common factor number is the GCF number.
So the greatest common factor 38127 and 38142 is 3.

Also check out the Least Common Multiple of 38127 and 38142