What is the Greatest Common Factor of 38488 and 38505?

Greatest common factor (GCF) of 38488 and 38505 is 17.

GCF(38488,38505) = 17

We will now calculate the prime factors of 38488 and 38505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38488 and 38505.

How to find the GCF of 38488 and 38505?

We will first find the prime factorization of 38488 and 38505. After we will calculate the factors of 38488 and 38505 and find the biggest common factor number .

Step-1: Prime Factorization of 38488

Prime factors of 38488 are 2, 17, 283. Prime factorization of 38488 in exponential form is:

38488 = 2³ × 17¹ × 283¹

Step-2: Prime Factorization of 38505

Prime factors of 38505 are 3, 5, 17, 151. Prime factorization of 38505 in exponential form is:

38505 = 3¹ × 5¹ × 17¹ × 151¹

Step-3: Factors of 38488

List of positive integer factors of 38488 that divides 38488 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 283, 566, 1132, 2264, 4811, 9622, 19244

Step-4: Factors of 38505

List of positive integer factors of 38505 that divides 38488 without a remainder.

1, 3, 5, 15, 17, 51, 85, 151, 255, 453, 755, 2265, 2567, 7701, 12835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38488 and 38505. The biggest common factor number is the GCF number.
So the greatest common factor 38488 and 38505 is 17.

Also check out the Least Common Multiple of 38488 and 38505