What is the Greatest Common Factor of 33417 and 33431?

Greatest common factor (GCF) of 33417 and 33431 is 1.

GCF(33417,33431) = 1

We will now calculate the prime factors of 33417 and 33431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33417 and 33431.

How to find the GCF of 33417 and 33431?

We will first find the prime factorization of 33417 and 33431. After we will calculate the factors of 33417 and 33431 and find the biggest common factor number .

Step-1: Prime Factorization of 33417

Prime factors of 33417 are 3, 47, 79. Prime factorization of 33417 in exponential form is:

33417 = 3² × 47¹ × 79¹

Step-2: Prime Factorization of 33431

Prime factors of 33431 are 101, 331. Prime factorization of 33431 in exponential form is:

33431 = 101¹ × 331¹

Step-3: Factors of 33417

List of positive integer factors of 33417 that divides 33417 without a remainder.

1, 3, 9, 47, 79, 141, 237, 423, 711, 3713, 11139

Step-4: Factors of 33431

List of positive integer factors of 33431 that divides 33417 without a remainder.

1, 101, 331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33417 and 33431. The biggest common factor number is the GCF number.
So the greatest common factor 33417 and 33431 is 1.

Also check out the Least Common Multiple of 33417 and 33431