What is the Greatest Common Factor of 51168 and 51184?

Greatest common factor (GCF) of 51168 and 51184 is 16.

GCF(51168,51184) = 16

We will now calculate the prime factors of 51168 and 51184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51168 and 51184.

How to find the GCF of 51168 and 51184?

We will first find the prime factorization of 51168 and 51184. After we will calculate the factors of 51168 and 51184 and find the biggest common factor number .

Step-1: Prime Factorization of 51168

Prime factors of 51168 are 2, 3, 13, 41. Prime factorization of 51168 in exponential form is:

51168 = 2⁵ × 3¹ × 13¹ × 41¹

Step-2: Prime Factorization of 51184

Prime factors of 51184 are 2, 7, 457. Prime factorization of 51184 in exponential form is:

51184 = 2⁴ × 7¹ × 457¹

Step-3: Factors of 51168

List of positive integer factors of 51168 that divides 51168 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 41, 48, 52, 78, 82, 96, 104, 123, 156, 164, 208, 246, 312, 328, 416, 492, 533, 624, 656, 984, 1066, 1248, 1312, 1599, 1968, 2132, 3198, 3936, 4264, 6396, 8528, 12792, 17056, 25584

Step-4: Factors of 51184

List of positive integer factors of 51184 that divides 51168 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 457, 914, 1828, 3199, 3656, 6398, 7312, 12796, 25592

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51168 and 51184. The biggest common factor number is the GCF number.
So the greatest common factor 51168 and 51184 is 16.

Also check out the Least Common Multiple of 51168 and 51184