What is the Greatest Common Factor of 66164 and 66176?

Greatest common factor (GCF) of 66164 and 66176 is 4.

GCF(66164,66176) = 4

We will now calculate the prime factors of 66164 and 66176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66164 and 66176.

How to find the GCF of 66164 and 66176?

We will first find the prime factorization of 66164 and 66176. After we will calculate the factors of 66164 and 66176 and find the biggest common factor number .

Step-1: Prime Factorization of 66164

Prime factors of 66164 are 2, 7, 17, 139. Prime factorization of 66164 in exponential form is:

66164 = 2² × 7¹ × 17¹ × 139¹

Step-2: 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-3: Factors of 66164

List of positive integer factors of 66164 that divides 66164 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 139, 238, 278, 476, 556, 973, 1946, 2363, 3892, 4726, 9452, 16541, 33082

Step-4: Factors of 66176

List of positive integer factors of 66176 that divides 66164 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66164 and 66176. The biggest common factor number is the GCF number.
So the greatest common factor 66164 and 66176 is 4.

Also check out the Least Common Multiple of 66164 and 66176