What is the Greatest Common Factor of 38415 and 38434?

Greatest common factor (GCF) of 38415 and 38434 is 1.

GCF(38415,38434) = 1

We will now calculate the prime factors of 38415 and 38434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38415 and 38434.

How to find the GCF of 38415 and 38434?

We will first find the prime factorization of 38415 and 38434. After we will calculate the factors of 38415 and 38434 and find the biggest common factor number .

Step-1: Prime Factorization of 38415

Prime factors of 38415 are 3, 5, 13, 197. Prime factorization of 38415 in exponential form is:

38415 = 3¹ × 5¹ × 13¹ × 197¹

Step-2: Prime Factorization of 38434

Prime factors of 38434 are 2, 11, 1747. Prime factorization of 38434 in exponential form is:

38434 = 2¹ × 11¹ × 1747¹

Step-3: Factors of 38415

List of positive integer factors of 38415 that divides 38415 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 197, 591, 985, 2561, 2955, 7683, 12805

Step-4: Factors of 38434

List of positive integer factors of 38434 that divides 38415 without a remainder.

1, 2, 11, 22, 1747, 3494, 19217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38415 and 38434. The biggest common factor number is the GCF number.
So the greatest common factor 38415 and 38434 is 1.

Also check out the Least Common Multiple of 38415 and 38434