What is the Greatest Common Factor of 33708 and 33722?

Greatest common factor (GCF) of 33708 and 33722 is 2.

GCF(33708,33722) = 2

We will now calculate the prime factors of 33708 and 33722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33708 and 33722.

How to find the GCF of 33708 and 33722?

We will first find the prime factorization of 33708 and 33722. After we will calculate the factors of 33708 and 33722 and find the biggest common factor number .

Step-1: Prime Factorization of 33708

Prime factors of 33708 are 2, 3, 53. Prime factorization of 33708 in exponential form is:

33708 = 2² × 3¹ × 53²

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 33708

List of positive integer factors of 33708 that divides 33708 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636, 2809, 5618, 8427, 11236, 16854

Step-4: Factors of 33722

List of positive integer factors of 33722 that divides 33708 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33708 and 33722. The biggest common factor number is the GCF number.
So the greatest common factor 33708 and 33722 is 2.

Also check out the Least Common Multiple of 33708 and 33722