What is the Greatest Common Factor of 51164 and 51168?

Greatest common factor (GCF) of 51164 and 51168 is 4.

GCF(51164,51168) = 4

We will now calculate the prime factors of 51164 and 51168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51164 and 51168.

How to find the GCF of 51164 and 51168?

We will first find the prime factorization of 51164 and 51168. After we will calculate the factors of 51164 and 51168 and find the biggest common factor number .

Step-1: Prime Factorization of 51164

Prime factors of 51164 are 2, 12791. Prime factorization of 51164 in exponential form is:

51164 = 2² × 12791¹

Step-2: 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-3: Factors of 51164

List of positive integer factors of 51164 that divides 51164 without a remainder.

1, 2, 4, 12791, 25582

Step-4: Factors of 51168

List of positive integer factors of 51168 that divides 51164 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51164 and 51168. The biggest common factor number is the GCF number.
So the greatest common factor 51164 and 51168 is 4.

Also check out the Least Common Multiple of 51164 and 51168