What is the Greatest Common Factor of 51952 and 51962?

Greatest common factor (GCF) of 51952 and 51962 is 2.

GCF(51952,51962) = 2

We will now calculate the prime factors of 51952 and 51962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51952 and 51962.

How to find the GCF of 51952 and 51962?

We will first find the prime factorization of 51952 and 51962. After we will calculate the factors of 51952 and 51962 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 51962

Prime factors of 51962 are 2, 25981. Prime factorization of 51962 in exponential form is:

51962 = 2¹ × 25981¹

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 51962

List of positive integer factors of 51962 that divides 51952 without a remainder.

1, 2, 25981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51952 and 51962. The biggest common factor number is the GCF number.
So the greatest common factor 51952 and 51962 is 2.

Also check out the Least Common Multiple of 51952 and 51962