What is the Greatest Common Factor of 51935 and 51952?

Greatest common factor (GCF) of 51935 and 51952 is 17.

GCF(51935,51952) = 17

We will now calculate the prime factors of 51935 and 51952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51935 and 51952.

How to find the GCF of 51935 and 51952?

We will first find the prime factorization of 51935 and 51952. After we will calculate the factors of 51935 and 51952 and find the biggest common factor number .

Step-1: Prime Factorization of 51935

Prime factors of 51935 are 5, 13, 17, 47. Prime factorization of 51935 in exponential form is:

51935 = 5¹ × 13¹ × 17¹ × 47¹

Step-2: 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-3: Factors of 51935

List of positive integer factors of 51935 that divides 51935 without a remainder.

1, 5, 13, 17, 47, 65, 85, 221, 235, 611, 799, 1105, 3055, 3995, 10387

Step-4: Factors of 51952

List of positive integer factors of 51952 that divides 51935 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51935 and 51952. The biggest common factor number is the GCF number.
So the greatest common factor 51935 and 51952 is 17.

Also check out the Least Common Multiple of 51935 and 51952