What is the Greatest Common Factor of 51934 and 51952?

Greatest common factor (GCF) of 51934 and 51952 is 2.

GCF(51934,51952) = 2

We will now calculate the prime factors of 51934 and 51952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51934 and 51952.

How to find the GCF of 51934 and 51952?

We will first find the prime factorization of 51934 and 51952. After we will calculate the factors of 51934 and 51952 and find the biggest common factor number .

Step-1: Prime Factorization of 51934

Prime factors of 51934 are 2, 23, 1129. Prime factorization of 51934 in exponential form is:

51934 = 2¹ × 23¹ × 1129¹

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 51934

List of positive integer factors of 51934 that divides 51934 without a remainder.

1, 2, 23, 46, 1129, 2258, 25967

Step-4: Factors of 51952

List of positive integer factors of 51952 that divides 51934 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 51934 and 51952. The biggest common factor number is the GCF number.
So the greatest common factor 51934 and 51952 is 2.

Also check out the Least Common Multiple of 51934 and 51952