What is the Greatest Common Factor of 33719 and 33726?

Greatest common factor (GCF) of 33719 and 33726 is 7.

GCF(33719,33726) = 7

We will now calculate the prime factors of 33719 and 33726, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33719 and 33726.

How to find the GCF of 33719 and 33726?

We will first find the prime factorization of 33719 and 33726. After we will calculate the factors of 33719 and 33726 and find the biggest common factor number .

Step-1: Prime Factorization of 33719

Prime factors of 33719 are 7, 4817. Prime factorization of 33719 in exponential form is:

33719 = 7¹ × 4817¹

Step-2: 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-3: Factors of 33719

List of positive integer factors of 33719 that divides 33719 without a remainder.

1, 7, 4817

Step-4: Factors of 33726

List of positive integer factors of 33726 that divides 33719 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33719 and 33726. The biggest common factor number is the GCF number.
So the greatest common factor 33719 and 33726 is 7.

Also check out the Least Common Multiple of 33719 and 33726