What is the Greatest Common Factor of 32454 and 32461?

Greatest common factor (GCF) of 32454 and 32461 is 1.

GCF(32454,32461) = 1

We will now calculate the prime factors of 32454 and 32461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32454 and 32461.

How to find the GCF of 32454 and 32461?

We will first find the prime factorization of 32454 and 32461. After we will calculate the factors of 32454 and 32461 and find the biggest common factor number .

Step-1: Prime Factorization of 32454

Prime factors of 32454 are 2, 3, 601. Prime factorization of 32454 in exponential form is:

32454 = 2¹ × 3³ × 601¹

Step-2: 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-3: Factors of 32454

List of positive integer factors of 32454 that divides 32454 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 601, 1202, 1803, 3606, 5409, 10818, 16227

Step-4: Factors of 32461

List of positive integer factors of 32461 that divides 32454 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32454 and 32461. The biggest common factor number is the GCF number.
So the greatest common factor 32454 and 32461 is 1.

Also check out the Least Common Multiple of 32454 and 32461