What is the Greatest Common Factor of 78176 and 78192?

Greatest common factor (GCF) of 78176 and 78192 is 16.

GCF(78176,78192) = 16

We will now calculate the prime factors of 78176 and 78192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78176 and 78192.

How to find the GCF of 78176 and 78192?

We will first find the prime factorization of 78176 and 78192. After we will calculate the factors of 78176 and 78192 and find the biggest common factor number .

Step-1: Prime Factorization of 78176

Prime factors of 78176 are 2, 7, 349. Prime factorization of 78176 in exponential form is:

78176 = 2⁵ × 7¹ × 349¹

Step-2: Prime Factorization of 78192

Prime factors of 78192 are 2, 3, 181. Prime factorization of 78192 in exponential form is:

78192 = 2⁴ × 3³ × 181¹

Step-3: Factors of 78176

List of positive integer factors of 78176 that divides 78176 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 349, 698, 1396, 2443, 2792, 4886, 5584, 9772, 11168, 19544, 39088

Step-4: Factors of 78192

List of positive integer factors of 78192 that divides 78176 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 181, 216, 362, 432, 543, 724, 1086, 1448, 1629, 2172, 2896, 3258, 4344, 4887, 6516, 8688, 9774, 13032, 19548, 26064, 39096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78176 and 78192. The biggest common factor number is the GCF number.
So the greatest common factor 78176 and 78192 is 16.

Also check out the Least Common Multiple of 78176 and 78192