What is the Greatest Common Factor of 38448 and 38460?

Greatest common factor (GCF) of 38448 and 38460 is 12.

GCF(38448,38460) = 12

We will now calculate the prime factors of 38448 and 38460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38448 and 38460.

How to find the GCF of 38448 and 38460?

We will first find the prime factorization of 38448 and 38460. After we will calculate the factors of 38448 and 38460 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 38460

Prime factors of 38460 are 2, 3, 5, 641. Prime factorization of 38460 in exponential form is:

38460 = 2² × 3¹ × 5¹ × 641¹

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 38460

List of positive integer factors of 38460 that divides 38448 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 641, 1282, 1923, 2564, 3205, 3846, 6410, 7692, 9615, 12820, 19230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38448 and 38460. The biggest common factor number is the GCF number.
So the greatest common factor 38448 and 38460 is 12.

Also check out the Least Common Multiple of 38448 and 38460