What is the Greatest Common Factor of 32475 and 32494?

Greatest common factor (GCF) of 32475 and 32494 is 1.

GCF(32475,32494) = 1

We will now calculate the prime factors of 32475 and 32494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32475 and 32494.

How to find the GCF of 32475 and 32494?

We will first find the prime factorization of 32475 and 32494. After we will calculate the factors of 32475 and 32494 and find the biggest common factor number .

Step-1: Prime Factorization of 32475

Prime factors of 32475 are 3, 5, 433. Prime factorization of 32475 in exponential form is:

32475 = 3¹ × 5² × 433¹

Step-2: Prime Factorization of 32494

Prime factors of 32494 are 2, 7, 11, 211. Prime factorization of 32494 in exponential form is:

32494 = 2¹ × 7¹ × 11¹ × 211¹

Step-3: Factors of 32475

List of positive integer factors of 32475 that divides 32475 without a remainder.

1, 3, 5, 15, 25, 75, 433, 1299, 2165, 6495, 10825

Step-4: Factors of 32494

List of positive integer factors of 32494 that divides 32475 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 211, 422, 1477, 2321, 2954, 4642, 16247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32475 and 32494. The biggest common factor number is the GCF number.
So the greatest common factor 32475 and 32494 is 1.

Also check out the Least Common Multiple of 32475 and 32494