What is the Greatest Common Factor of 32475 and 32489?

Greatest common factor (GCF) of 32475 and 32489 is 1.

GCF(32475,32489) = 1

We will now calculate the prime factors of 32475 and 32489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32475 and 32489.

How to find the GCF of 32475 and 32489?

We will first find the prime factorization of 32475 and 32489. After we will calculate the factors of 32475 and 32489 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 32489

Prime factors of 32489 are 53, 613. Prime factorization of 32489 in exponential form is:

32489 = 53¹ × 613¹

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 32489

List of positive integer factors of 32489 that divides 32475 without a remainder.

1, 53, 613

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32475 and 32489. The biggest common factor number is the GCF number.
So the greatest common factor 32475 and 32489 is 1.

Also check out the Least Common Multiple of 32475 and 32489