What is the Greatest Common Factor of 33417 and 33426?

Greatest common factor (GCF) of 33417 and 33426 is 9.

GCF(33417,33426) = 9

We will now calculate the prime factors of 33417 and 33426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33417 and 33426.

How to find the GCF of 33417 and 33426?

We will first find the prime factorization of 33417 and 33426. After we will calculate the factors of 33417 and 33426 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 33426

Prime factors of 33426 are 2, 3, 619. Prime factorization of 33426 in exponential form is:

33426 = 2¹ × 3³ × 619¹

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 33426

List of positive integer factors of 33426 that divides 33417 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 619, 1238, 1857, 3714, 5571, 11142, 16713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33417 and 33426. The biggest common factor number is the GCF number.
So the greatest common factor 33417 and 33426 is 9.

Also check out the Least Common Multiple of 33417 and 33426