What is the Greatest Common Factor of 35233 and 35247?

Greatest common factor (GCF) of 35233 and 35247 is 1.

GCF(35233,35247) = 1

We will now calculate the prime factors of 35233 and 35247, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35233 and 35247.

How to find the GCF of 35233 and 35247?

We will first find the prime factorization of 35233 and 35247. After we will calculate the factors of 35233 and 35247 and find the biggest common factor number .

Step-1: Prime Factorization of 35233

Prime factors of 35233 are 11, 3203. Prime factorization of 35233 in exponential form is:

35233 = 11¹ × 3203¹

Step-2: Prime Factorization of 35247

Prime factors of 35247 are 3, 31, 379. Prime factorization of 35247 in exponential form is:

35247 = 3¹ × 31¹ × 379¹

Step-3: Factors of 35233

List of positive integer factors of 35233 that divides 35233 without a remainder.

1, 11, 3203

Step-4: Factors of 35247

List of positive integer factors of 35247 that divides 35233 without a remainder.

1, 3, 31, 93, 379, 1137, 11749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35233 and 35247. The biggest common factor number is the GCF number.
So the greatest common factor 35233 and 35247 is 1.

Also check out the Least Common Multiple of 35233 and 35247