What is the Greatest Common Factor of 32357 and 32369?

Greatest common factor (GCF) of 32357 and 32369 is 1.

GCF(32357,32369) = 1

We will now calculate the prime factors of 32357 and 32369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32357 and 32369.

How to find the GCF of 32357 and 32369?

We will first find the prime factorization of 32357 and 32369. After we will calculate the factors of 32357 and 32369 and find the biggest common factor number .

Step-1: Prime Factorization of 32357

Prime factors of 32357 are 13, 19, 131. Prime factorization of 32357 in exponential form is:

32357 = 13¹ × 19¹ × 131¹

Step-2: Prime Factorization of 32369

Prime factors of 32369 are 32369. Prime factorization of 32369 in exponential form is:

32369 = 32369¹

Step-3: Factors of 32357

List of positive integer factors of 32357 that divides 32357 without a remainder.

1, 13, 19, 131, 247, 1703, 2489

Step-4: Factors of 32369

List of positive integer factors of 32369 that divides 32357 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32357 and 32369. The biggest common factor number is the GCF number.
So the greatest common factor 32357 and 32369 is 1.

Also check out the Least Common Multiple of 32357 and 32369