What is the Greatest Common Factor of 33705 and 33722?

Greatest common factor (GCF) of 33705 and 33722 is 1.

GCF(33705,33722) = 1

We will now calculate the prime factors of 33705 and 33722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33705 and 33722.

How to find the GCF of 33705 and 33722?

We will first find the prime factorization of 33705 and 33722. After we will calculate the factors of 33705 and 33722 and find the biggest common factor number .

Step-1: Prime Factorization of 33705

Prime factors of 33705 are 3, 5, 7, 107. Prime factorization of 33705 in exponential form is:

33705 = 3² × 5¹ × 7¹ × 107¹

Step-2: Prime Factorization of 33722

Prime factors of 33722 are 2, 13, 1297. Prime factorization of 33722 in exponential form is:

33722 = 2¹ × 13¹ × 1297¹

Step-3: Factors of 33705

List of positive integer factors of 33705 that divides 33705 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 107, 315, 321, 535, 749, 963, 1605, 2247, 3745, 4815, 6741, 11235

Step-4: Factors of 33722

List of positive integer factors of 33722 that divides 33705 without a remainder.

1, 2, 13, 26, 1297, 2594, 16861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33705 and 33722. The biggest common factor number is the GCF number.
So the greatest common factor 33705 and 33722 is 1.

Also check out the Least Common Multiple of 33705 and 33722