What is the Greatest Common Factor of 33726 and 33737?

Greatest common factor (GCF) of 33726 and 33737 is 11.

GCF(33726,33737) = 11

We will now calculate the prime factors of 33726 and 33737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33726 and 33737.

How to find the GCF of 33726 and 33737?

We will first find the prime factorization of 33726 and 33737. After we will calculate the factors of 33726 and 33737 and find the biggest common factor number .

Step-1: Prime Factorization of 33726

Prime factors of 33726 are 2, 3, 7, 11, 73. Prime factorization of 33726 in exponential form is:

33726 = 2¹ × 3¹ × 7¹ × 11¹ × 73¹

Step-2: Prime Factorization of 33737

Prime factors of 33737 are 11, 3067. Prime factorization of 33737 in exponential form is:

33737 = 11¹ × 3067¹

Step-3: Factors of 33726

List of positive integer factors of 33726 that divides 33726 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 73, 77, 146, 154, 219, 231, 438, 462, 511, 803, 1022, 1533, 1606, 2409, 3066, 4818, 5621, 11242, 16863

Step-4: Factors of 33737

List of positive integer factors of 33737 that divides 33726 without a remainder.

1, 11, 3067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33726 and 33737. The biggest common factor number is the GCF number.
So the greatest common factor 33726 and 33737 is 11.

Also check out the Least Common Multiple of 33726 and 33737