What is the Greatest Common Factor of 38448 and 38465?

Greatest common factor (GCF) of 38448 and 38465 is 1.

GCF(38448,38465) = 1

We will now calculate the prime factors of 38448 and 38465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38448 and 38465.

How to find the GCF of 38448 and 38465?

We will first find the prime factorization of 38448 and 38465. After we will calculate the factors of 38448 and 38465 and find the biggest common factor number .

Step-1: Prime Factorization of 38448

Prime factors of 38448 are 2, 3, 89. Prime factorization of 38448 in exponential form is:

38448 = 2⁴ × 3³ × 89¹

Step-2: Prime Factorization of 38465

Prime factors of 38465 are 5, 7, 157. Prime factorization of 38465 in exponential form is:

38465 = 5¹ × 7² × 157¹

Step-3: Factors of 38448

List of positive integer factors of 38448 that divides 38448 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 89, 108, 144, 178, 216, 267, 356, 432, 534, 712, 801, 1068, 1424, 1602, 2136, 2403, 3204, 4272, 4806, 6408, 9612, 12816, 19224

Step-4: Factors of 38465

List of positive integer factors of 38465 that divides 38448 without a remainder.

1, 5, 7, 35, 49, 157, 245, 785, 1099, 5495, 7693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38448 and 38465. The biggest common factor number is the GCF number.
So the greatest common factor 38448 and 38465 is 1.

Also check out the Least Common Multiple of 38448 and 38465