What is the Greatest Common Factor of 38103 and 38121?

Greatest common factor (GCF) of 38103 and 38121 is 3.

GCF(38103,38121) = 3

We will now calculate the prime factors of 38103 and 38121, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38103 and 38121.

How to find the GCF of 38103 and 38121?

We will first find the prime factorization of 38103 and 38121. After we will calculate the factors of 38103 and 38121 and find the biggest common factor number .

Step-1: Prime Factorization of 38103

Prime factors of 38103 are 3, 13, 977. Prime factorization of 38103 in exponential form is:

38103 = 3¹ × 13¹ × 977¹

Step-2: Prime Factorization of 38121

Prime factors of 38121 are 3, 97, 131. Prime factorization of 38121 in exponential form is:

38121 = 3¹ × 97¹ × 131¹

Step-3: Factors of 38103

List of positive integer factors of 38103 that divides 38103 without a remainder.

1, 3, 13, 39, 977, 2931, 12701

Step-4: Factors of 38121

List of positive integer factors of 38121 that divides 38103 without a remainder.

1, 3, 97, 131, 291, 393, 12707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38103 and 38121. The biggest common factor number is the GCF number.
So the greatest common factor 38103 and 38121 is 3.

Also check out the Least Common Multiple of 38103 and 38121