What is the Greatest Common Factor of 66185 and 66192?

Greatest common factor (GCF) of 66185 and 66192 is 7.

GCF(66185,66192) = 7

We will now calculate the prime factors of 66185 and 66192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66185 and 66192.

How to find the GCF of 66185 and 66192?

We will first find the prime factorization of 66185 and 66192. After we will calculate the factors of 66185 and 66192 and find the biggest common factor number .

Step-1: Prime Factorization of 66185

Prime factors of 66185 are 5, 7, 31, 61. Prime factorization of 66185 in exponential form is:

66185 = 5¹ × 7¹ × 31¹ × 61¹

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 66185

List of positive integer factors of 66185 that divides 66185 without a remainder.

1, 5, 7, 31, 35, 61, 155, 217, 305, 427, 1085, 1891, 2135, 9455, 13237

Step-4: Factors of 66192

List of positive integer factors of 66192 that divides 66185 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 66185 and 66192. The biggest common factor number is the GCF number.
So the greatest common factor 66185 and 66192 is 7.

Also check out the Least Common Multiple of 66185 and 66192