What is the Greatest Common Factor of 38460 and 38464?

Greatest common factor (GCF) of 38460 and 38464 is 4.

GCF(38460,38464) = 4

We will now calculate the prime factors of 38460 and 38464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38460 and 38464.

How to find the GCF of 38460 and 38464?

We will first find the prime factorization of 38460 and 38464. After we will calculate the factors of 38460 and 38464 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38464

Prime factors of 38464 are 2, 601. Prime factorization of 38464 in exponential form is:

38464 = 2⁶ × 601¹

Step-3: Factors of 38460

List of positive integer factors of 38460 that divides 38460 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

Step-4: Factors of 38464

List of positive integer factors of 38464 that divides 38460 without a remainder.

1, 2, 4, 8, 16, 32, 64, 601, 1202, 2404, 4808, 9616, 19232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38460 and 38464. The biggest common factor number is the GCF number.
So the greatest common factor 38460 and 38464 is 4.

Also check out the Least Common Multiple of 38460 and 38464