What is the Greatest Common Factor of 38114 and 38130?

Greatest common factor (GCF) of 38114 and 38130 is 2.

GCF(38114,38130) = 2

We will now calculate the prime factors of 38114 and 38130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38114 and 38130.

How to find the GCF of 38114 and 38130?

We will first find the prime factorization of 38114 and 38130. After we will calculate the factors of 38114 and 38130 and find the biggest common factor number .

Step-1: Prime Factorization of 38114

Prime factors of 38114 are 2, 17, 19, 59. Prime factorization of 38114 in exponential form is:

38114 = 2¹ × 17¹ × 19¹ × 59¹

Step-2: Prime Factorization of 38130

Prime factors of 38130 are 2, 3, 5, 31, 41. Prime factorization of 38130 in exponential form is:

38130 = 2¹ × 3¹ × 5¹ × 31¹ × 41¹

Step-3: Factors of 38114

List of positive integer factors of 38114 that divides 38114 without a remainder.

1, 2, 17, 19, 34, 38, 59, 118, 323, 646, 1003, 1121, 2006, 2242, 19057

Step-4: Factors of 38130

List of positive integer factors of 38130 that divides 38114 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 41, 62, 82, 93, 123, 155, 186, 205, 246, 310, 410, 465, 615, 930, 1230, 1271, 2542, 3813, 6355, 7626, 12710, 19065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38114 and 38130. The biggest common factor number is the GCF number.
So the greatest common factor 38114 and 38130 is 2.

Also check out the Least Common Multiple of 38114 and 38130