What is the Greatest Common Factor of 38235 and 38254?

Greatest common factor (GCF) of 38235 and 38254 is 1.

GCF(38235,38254) = 1

We will now calculate the prime factors of 38235 and 38254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38235 and 38254.

How to find the GCF of 38235 and 38254?

We will first find the prime factorization of 38235 and 38254. After we will calculate the factors of 38235 and 38254 and find the biggest common factor number .

Step-1: Prime Factorization of 38235

Prime factors of 38235 are 3, 5, 2549. Prime factorization of 38235 in exponential form is:

38235 = 3¹ × 5¹ × 2549¹

Step-2: Prime Factorization of 38254

Prime factors of 38254 are 2, 31, 617. Prime factorization of 38254 in exponential form is:

38254 = 2¹ × 31¹ × 617¹

Step-3: Factors of 38235

List of positive integer factors of 38235 that divides 38235 without a remainder.

1, 3, 5, 15, 2549, 7647, 12745

Step-4: Factors of 38254

List of positive integer factors of 38254 that divides 38235 without a remainder.

1, 2, 31, 62, 617, 1234, 19127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38235 and 38254. The biggest common factor number is the GCF number.
So the greatest common factor 38235 and 38254 is 1.

Also check out the Least Common Multiple of 38235 and 38254