What is the Greatest Common Factor of 66176 and 66192?

Greatest common factor (GCF) of 66176 and 66192 is 16.

GCF(66176,66192) = 16

We will now calculate the prime factors of 66176 and 66192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66176 and 66192.

How to find the GCF of 66176 and 66192?

We will first find the prime factorization of 66176 and 66192. After we will calculate the factors of 66176 and 66192 and find the biggest common factor number .

Step-1: Prime Factorization of 66176

Prime factors of 66176 are 2, 11, 47. Prime factorization of 66176 in exponential form is:

66176 = 2⁷ × 11¹ × 47¹

Step-2: Prime Factorization of 66192

Prime factors of 66192 are 2, 3, 7, 197. Prime factorization of 66192 in exponential form is:

66192 = 2⁴ × 3¹ × 7¹ × 197¹

Step-3: Factors of 66176

List of positive integer factors of 66176 that divides 66176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 47, 64, 88, 94, 128, 176, 188, 352, 376, 517, 704, 752, 1034, 1408, 1504, 2068, 3008, 4136, 6016, 8272, 16544, 33088

Step-4: Factors of 66192

List of positive integer factors of 66192 that divides 66176 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 197, 336, 394, 591, 788, 1182, 1379, 1576, 2364, 2758, 3152, 4137, 4728, 5516, 8274, 9456, 11032, 16548, 22064, 33096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66176 and 66192. The biggest common factor number is the GCF number.
So the greatest common factor 66176 and 66192 is 16.

Also check out the Least Common Multiple of 66176 and 66192