What is the Greatest Common Factor of 33768 and 33782?

Greatest common factor (GCF) of 33768 and 33782 is 14.

GCF(33768,33782) = 14

We will now calculate the prime factors of 33768 and 33782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33768 and 33782.

How to find the GCF of 33768 and 33782?

We will first find the prime factorization of 33768 and 33782. After we will calculate the factors of 33768 and 33782 and find the biggest common factor number .

Step-1: Prime Factorization of 33768

Prime factors of 33768 are 2, 3, 7, 67. Prime factorization of 33768 in exponential form is:

33768 = 2³ × 3² × 7¹ × 67¹

Step-2: Prime Factorization of 33782

Prime factors of 33782 are 2, 7, 19, 127. Prime factorization of 33782 in exponential form is:

33782 = 2¹ × 7¹ × 19¹ × 127¹

Step-3: Factors of 33768

List of positive integer factors of 33768 that divides 33768 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 67, 72, 84, 126, 134, 168, 201, 252, 268, 402, 469, 504, 536, 603, 804, 938, 1206, 1407, 1608, 1876, 2412, 2814, 3752, 4221, 4824, 5628, 8442, 11256, 16884

Step-4: Factors of 33782

List of positive integer factors of 33782 that divides 33768 without a remainder.

1, 2, 7, 14, 19, 38, 127, 133, 254, 266, 889, 1778, 2413, 4826, 16891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33768 and 33782. The biggest common factor number is the GCF number.
So the greatest common factor 33768 and 33782 is 14.

Also check out the Least Common Multiple of 33768 and 33782