What is the Greatest Common Factor of 66336 and 66352?

Greatest common factor (GCF) of 66336 and 66352 is 16.

GCF(66336,66352) = 16

We will now calculate the prime factors of 66336 and 66352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66336 and 66352.

How to find the GCF of 66336 and 66352?

We will first find the prime factorization of 66336 and 66352. After we will calculate the factors of 66336 and 66352 and find the biggest common factor number .

Step-1: Prime Factorization of 66336

Prime factors of 66336 are 2, 3, 691. Prime factorization of 66336 in exponential form is:

66336 = 2⁵ × 3¹ × 691¹

Step-2: Prime Factorization of 66352

Prime factors of 66352 are 2, 11, 13, 29. Prime factorization of 66352 in exponential form is:

66352 = 2⁴ × 11¹ × 13¹ × 29¹

Step-3: Factors of 66336

List of positive integer factors of 66336 that divides 66336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 691, 1382, 2073, 2764, 4146, 5528, 8292, 11056, 16584, 22112, 33168

Step-4: Factors of 66352

List of positive integer factors of 66352 that divides 66336 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 29, 44, 52, 58, 88, 104, 116, 143, 176, 208, 232, 286, 319, 377, 464, 572, 638, 754, 1144, 1276, 1508, 2288, 2552, 3016, 4147, 5104, 6032, 8294, 16588, 33176

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66336 and 66352. The biggest common factor number is the GCF number.
So the greatest common factor 66336 and 66352 is 16.

Also check out the Least Common Multiple of 66336 and 66352