What is the Greatest Common Factor of 32460 and 32478?

Greatest common factor (GCF) of 32460 and 32478 is 6.

GCF(32460,32478) = 6

We will now calculate the prime factors of 32460 and 32478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32460 and 32478.

How to find the GCF of 32460 and 32478?

We will first find the prime factorization of 32460 and 32478. After we will calculate the factors of 32460 and 32478 and find the biggest common factor number .

Step-1: Prime Factorization of 32460

Prime factors of 32460 are 2, 3, 5, 541. Prime factorization of 32460 in exponential form is:

32460 = 2² × 3¹ × 5¹ × 541¹

Step-2: Prime Factorization of 32478

Prime factors of 32478 are 2, 3, 5413. Prime factorization of 32478 in exponential form is:

32478 = 2¹ × 3¹ × 5413¹

Step-3: Factors of 32460

List of positive integer factors of 32460 that divides 32460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 541, 1082, 1623, 2164, 2705, 3246, 5410, 6492, 8115, 10820, 16230

Step-4: Factors of 32478

List of positive integer factors of 32478 that divides 32460 without a remainder.

1, 2, 3, 6, 5413, 10826, 16239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32460 and 32478. The biggest common factor number is the GCF number.
So the greatest common factor 32460 and 32478 is 6.

Also check out the Least Common Multiple of 32460 and 32478