What is the Greatest Common Factor of 38099 and 38112?

Greatest common factor (GCF) of 38099 and 38112 is 1.

GCF(38099,38112) = 1

We will now calculate the prime factors of 38099 and 38112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38099 and 38112.

How to find the GCF of 38099 and 38112?

We will first find the prime factorization of 38099 and 38112. After we will calculate the factors of 38099 and 38112 and find the biggest common factor number .

Step-1: Prime Factorization of 38099

Prime factors of 38099 are 31, 1229. Prime factorization of 38099 in exponential form is:

38099 = 31¹ × 1229¹

Step-2: Prime Factorization of 38112

Prime factors of 38112 are 2, 3, 397. Prime factorization of 38112 in exponential form is:

38112 = 2⁵ × 3¹ × 397¹

Step-3: Factors of 38099

List of positive integer factors of 38099 that divides 38099 without a remainder.

1, 31, 1229

Step-4: Factors of 38112

List of positive integer factors of 38112 that divides 38099 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 397, 794, 1191, 1588, 2382, 3176, 4764, 6352, 9528, 12704, 19056

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38099 and 38112. The biggest common factor number is the GCF number.
So the greatest common factor 38099 and 38112 is 1.

Also check out the Least Common Multiple of 38099 and 38112