What is the Greatest Common Factor of 33405 and 33422?

Greatest common factor (GCF) of 33405 and 33422 is 17.

GCF(33405,33422) = 17

We will now calculate the prime factors of 33405 and 33422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33405 and 33422.

How to find the GCF of 33405 and 33422?

We will first find the prime factorization of 33405 and 33422. After we will calculate the factors of 33405 and 33422 and find the biggest common factor number .

Step-1: Prime Factorization of 33405

Prime factors of 33405 are 3, 5, 17, 131. Prime factorization of 33405 in exponential form is:

33405 = 3¹ × 5¹ × 17¹ × 131¹

Step-2: Prime Factorization of 33422

Prime factors of 33422 are 2, 17, 983. Prime factorization of 33422 in exponential form is:

33422 = 2¹ × 17¹ × 983¹

Step-3: Factors of 33405

List of positive integer factors of 33405 that divides 33405 without a remainder.

1, 3, 5, 15, 17, 51, 85, 131, 255, 393, 655, 1965, 2227, 6681, 11135

Step-4: Factors of 33422

List of positive integer factors of 33422 that divides 33405 without a remainder.

1, 2, 17, 34, 983, 1966, 16711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33405 and 33422. The biggest common factor number is the GCF number.
So the greatest common factor 33405 and 33422 is 17.

Also check out the Least Common Multiple of 33405 and 33422