What is the Greatest Common Factor of 66164 and 66172?

Greatest common factor (GCF) of 66164 and 66172 is 4.

GCF(66164,66172) = 4

We will now calculate the prime factors of 66164 and 66172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66164 and 66172.

How to find the GCF of 66164 and 66172?

We will first find the prime factorization of 66164 and 66172. After we will calculate the factors of 66164 and 66172 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 66172

Prime factors of 66172 are 2, 71, 233. Prime factorization of 66172 in exponential form is:

66172 = 2² × 71¹ × 233¹

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 66172

List of positive integer factors of 66172 that divides 66164 without a remainder.

1, 2, 4, 71, 142, 233, 284, 466, 932, 16543, 33086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66164 and 66172. The biggest common factor number is the GCF number.
So the greatest common factor 66164 and 66172 is 4.

Also check out the Least Common Multiple of 66164 and 66172