What is the Greatest Common Factor of 52944 and 52960?

Greatest common factor (GCF) of 52944 and 52960 is 16.

GCF(52944,52960) = 16

We will now calculate the prime factors of 52944 and 52960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52944 and 52960.

How to find the GCF of 52944 and 52960?

We will first find the prime factorization of 52944 and 52960. After we will calculate the factors of 52944 and 52960 and find the biggest common factor number .

Step-1: Prime Factorization of 52944

Prime factors of 52944 are 2, 3, 1103. Prime factorization of 52944 in exponential form is:

52944 = 2⁴ × 3¹ × 1103¹

Step-2: Prime Factorization of 52960

Prime factors of 52960 are 2, 5, 331. Prime factorization of 52960 in exponential form is:

52960 = 2⁵ × 5¹ × 331¹

Step-3: Factors of 52944

List of positive integer factors of 52944 that divides 52944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1103, 2206, 3309, 4412, 6618, 8824, 13236, 17648, 26472

Step-4: Factors of 52960

List of positive integer factors of 52960 that divides 52944 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 331, 662, 1324, 1655, 2648, 3310, 5296, 6620, 10592, 13240, 26480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52944 and 52960. The biggest common factor number is the GCF number.
So the greatest common factor 52944 and 52960 is 16.

Also check out the Least Common Multiple of 52944 and 52960