What is the Greatest Common Factor of 52932 and 52952?

Greatest common factor (GCF) of 52932 and 52952 is 4.

GCF(52932,52952) = 4

We will now calculate the prime factors of 52932 and 52952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52932 and 52952.

How to find the GCF of 52932 and 52952?

We will first find the prime factorization of 52932 and 52952. After we will calculate the factors of 52932 and 52952 and find the biggest common factor number .

Step-1: Prime Factorization of 52932

Prime factors of 52932 are 2, 3, 11, 401. Prime factorization of 52932 in exponential form is:

52932 = 2² × 3¹ × 11¹ × 401¹

Step-2: Prime Factorization of 52952

Prime factors of 52952 are 2, 6619. Prime factorization of 52952 in exponential form is:

52952 = 2³ × 6619¹

Step-3: Factors of 52932

List of positive integer factors of 52932 that divides 52932 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 401, 802, 1203, 1604, 2406, 4411, 4812, 8822, 13233, 17644, 26466

Step-4: Factors of 52952

List of positive integer factors of 52952 that divides 52932 without a remainder.

1, 2, 4, 8, 6619, 13238, 26476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52932 and 52952. The biggest common factor number is the GCF number.
So the greatest common factor 52932 and 52952 is 4.

Also check out the Least Common Multiple of 52932 and 52952