What is the Greatest Common Factor of 32849 and 32863?

Greatest common factor (GCF) of 32849 and 32863 is 1.

GCF(32849,32863) = 1

We will now calculate the prime factors of 32849 and 32863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32849 and 32863.

How to find the GCF of 32849 and 32863?

We will first find the prime factorization of 32849 and 32863. After we will calculate the factors of 32849 and 32863 and find the biggest common factor number .

Step-1: Prime Factorization of 32849

Prime factors of 32849 are 107, 307. Prime factorization of 32849 in exponential form is:

32849 = 107¹ × 307¹

Step-2: Prime Factorization of 32863

Prime factors of 32863 are 59, 557. Prime factorization of 32863 in exponential form is:

32863 = 59¹ × 557¹

Step-3: Factors of 32849

List of positive integer factors of 32849 that divides 32849 without a remainder.

1, 107, 307

Step-4: Factors of 32863

List of positive integer factors of 32863 that divides 32849 without a remainder.

1, 59, 557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32849 and 32863. The biggest common factor number is the GCF number.
So the greatest common factor 32849 and 32863 is 1.

Also check out the Least Common Multiple of 32849 and 32863