What is the Greatest Common Factor of 52935 and 52944?

Greatest common factor (GCF) of 52935 and 52944 is 3.

GCF(52935,52944) = 3

We will now calculate the prime factors of 52935 and 52944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52935 and 52944.

How to find the GCF of 52935 and 52944?

We will first find the prime factorization of 52935 and 52944. After we will calculate the factors of 52935 and 52944 and find the biggest common factor number .

Step-1: Prime Factorization of 52935

Prime factors of 52935 are 3, 5, 3529. Prime factorization of 52935 in exponential form is:

52935 = 3¹ × 5¹ × 3529¹

Step-2: 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-3: Factors of 52935

List of positive integer factors of 52935 that divides 52935 without a remainder.

1, 3, 5, 15, 3529, 10587, 17645

Step-4: Factors of 52944

List of positive integer factors of 52944 that divides 52935 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52935 and 52944. The biggest common factor number is the GCF number.
So the greatest common factor 52935 and 52944 is 3.

Also check out the Least Common Multiple of 52935 and 52944