What is the Greatest Common Factor of 51948 and 51952?

Greatest common factor (GCF) of 51948 and 51952 is 4.

GCF(51948,51952) = 4

We will now calculate the prime factors of 51948 and 51952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51948 and 51952.

How to find the GCF of 51948 and 51952?

We will first find the prime factorization of 51948 and 51952. After we will calculate the factors of 51948 and 51952 and find the biggest common factor number .

Step-1: Prime Factorization of 51948

Prime factors of 51948 are 2, 3, 13, 37. Prime factorization of 51948 in exponential form is:

51948 = 2² × 3³ × 13¹ × 37¹

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 51948

List of positive integer factors of 51948 that divides 51948 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 37, 39, 52, 54, 74, 78, 108, 111, 117, 148, 156, 222, 234, 333, 351, 444, 468, 481, 666, 702, 962, 999, 1332, 1404, 1443, 1924, 1998, 2886, 3996, 4329, 5772, 8658, 12987, 17316, 25974

Step-4: Factors of 51952

List of positive integer factors of 51952 that divides 51948 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 51948 and 51952. The biggest common factor number is the GCF number.
So the greatest common factor 51948 and 51952 is 4.

Also check out the Least Common Multiple of 51948 and 51952