What is the Greatest Common Factor of 51952 and 51967?

Greatest common factor (GCF) of 51952 and 51967 is 1.

GCF(51952,51967) = 1

We will now calculate the prime factors of 51952 and 51967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51952 and 51967.

How to find the GCF of 51952 and 51967?

We will first find the prime factorization of 51952 and 51967. After we will calculate the factors of 51952 and 51967 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 51967

Prime factors of 51967 are 157, 331. Prime factorization of 51967 in exponential form is:

51967 = 157¹ × 331¹

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 51967

List of positive integer factors of 51967 that divides 51952 without a remainder.

1, 157, 331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51952 and 51967. The biggest common factor number is the GCF number.
So the greatest common factor 51952 and 51967 is 1.

Also check out the Least Common Multiple of 51952 and 51967