What is the Greatest Common Factor of 38185 and 38201?

Greatest common factor (GCF) of 38185 and 38201 is 1.

GCF(38185,38201) = 1

We will now calculate the prime factors of 38185 and 38201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38185 and 38201.

How to find the GCF of 38185 and 38201?

We will first find the prime factorization of 38185 and 38201. After we will calculate the factors of 38185 and 38201 and find the biggest common factor number .

Step-1: Prime Factorization of 38185

Prime factors of 38185 are 5, 7, 1091. Prime factorization of 38185 in exponential form is:

38185 = 5¹ × 7¹ × 1091¹

Step-2: Prime Factorization of 38201

Prime factors of 38201 are 38201. Prime factorization of 38201 in exponential form is:

38201 = 38201¹

Step-3: Factors of 38185

List of positive integer factors of 38185 that divides 38185 without a remainder.

1, 5, 7, 35, 1091, 5455, 7637

Step-4: Factors of 38201

List of positive integer factors of 38201 that divides 38185 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38185 and 38201. The biggest common factor number is the GCF number.
So the greatest common factor 38185 and 38201 is 1.

Also check out the Least Common Multiple of 38185 and 38201