What is the Greatest Common Factor of 33762 and 33782?

Greatest common factor (GCF) of 33762 and 33782 is 2.

GCF(33762,33782) = 2

We will now calculate the prime factors of 33762 and 33782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33762 and 33782.

How to find the GCF of 33762 and 33782?

We will first find the prime factorization of 33762 and 33782. After we will calculate the factors of 33762 and 33782 and find the biggest common factor number .

Step-1: Prime Factorization of 33762

Prime factors of 33762 are 2, 3, 17, 331. Prime factorization of 33762 in exponential form is:

33762 = 2¹ × 3¹ × 17¹ × 331¹

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 33762

List of positive integer factors of 33762 that divides 33762 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 331, 662, 993, 1986, 5627, 11254, 16881

Step-4: Factors of 33782

List of positive integer factors of 33782 that divides 33762 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 33762 and 33782. The biggest common factor number is the GCF number.
So the greatest common factor 33762 and 33782 is 2.

Also check out the Least Common Multiple of 33762 and 33782