What is the Greatest Common Factor of 51952 and 51968?

Greatest common factor (GCF) of 51952 and 51968 is 16.

GCF(51952,51968) = 16

We will now calculate the prime factors of 51952 and 51968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51952 and 51968.

How to find the GCF of 51952 and 51968?

We will first find the prime factorization of 51952 and 51968. After we will calculate the factors of 51952 and 51968 and find the biggest common factor number .

Step-1: Prime Factorization of 51952

Prime factors of 51952 are 2, 17, 191. Prime factorization of 51952 in exponential form is:

51952 = 2⁴ × 17¹ × 191¹

Step-2: Prime Factorization of 51968

Prime factors of 51968 are 2, 7, 29. Prime factorization of 51968 in exponential form is:

51968 = 2⁸ × 7¹ × 29¹

Step-3: Factors of 51952

List of positive integer factors of 51952 that divides 51952 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 191, 272, 382, 764, 1528, 3056, 3247, 6494, 12988, 25976

Step-4: Factors of 51968

List of positive integer factors of 51968 that divides 51952 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 29, 32, 56, 58, 64, 112, 116, 128, 203, 224, 232, 256, 406, 448, 464, 812, 896, 928, 1624, 1792, 1856, 3248, 3712, 6496, 7424, 12992, 25984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51952 and 51968. The biggest common factor number is the GCF number.
So the greatest common factor 51952 and 51968 is 16.

Also check out the Least Common Multiple of 51952 and 51968