What is the Greatest Common Factor of 32461 and 32478?

Greatest common factor (GCF) of 32461 and 32478 is 1.

GCF(32461,32478) = 1

We will now calculate the prime factors of 32461 and 32478, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32461 and 32478.

How to find the GCF of 32461 and 32478?

We will first find the prime factorization of 32461 and 32478. After we will calculate the factors of 32461 and 32478 and find the biggest common factor number .

Step-1: Prime Factorization of 32461

Prime factors of 32461 are 11, 13, 227. Prime factorization of 32461 in exponential form is:

32461 = 11¹ × 13¹ × 227¹

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 32461

List of positive integer factors of 32461 that divides 32461 without a remainder.

1, 11, 13, 143, 227, 2497, 2951

Step-4: Factors of 32478

List of positive integer factors of 32478 that divides 32461 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32461 and 32478. The biggest common factor number is the GCF number.
So the greatest common factor 32461 and 32478 is 1.

Also check out the Least Common Multiple of 32461 and 32478