What is the Greatest Common Factor of 38059 and 38068?

Greatest common factor (GCF) of 38059 and 38068 is 1.

GCF(38059,38068) = 1

We will now calculate the prime factors of 38059 and 38068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38059 and 38068.

How to find the GCF of 38059 and 38068?

We will first find the prime factorization of 38059 and 38068. After we will calculate the factors of 38059 and 38068 and find the biggest common factor number .

Step-1: Prime Factorization of 38059

Prime factors of 38059 are 7, 5437. Prime factorization of 38059 in exponential form is:

38059 = 7¹ × 5437¹

Step-2: Prime Factorization of 38068

Prime factors of 38068 are 2, 31, 307. Prime factorization of 38068 in exponential form is:

38068 = 2² × 31¹ × 307¹

Step-3: Factors of 38059

List of positive integer factors of 38059 that divides 38059 without a remainder.

1, 7, 5437

Step-4: Factors of 38068

List of positive integer factors of 38068 that divides 38059 without a remainder.

1, 2, 4, 31, 62, 124, 307, 614, 1228, 9517, 19034

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38059 and 38068. The biggest common factor number is the GCF number.
So the greatest common factor 38059 and 38068 is 1.

Also check out the Least Common Multiple of 38059 and 38068