What is the Greatest Common Factor of 52947 and 52962?

Greatest common factor (GCF) of 52947 and 52962 is 3.

GCF(52947,52962) = 3

We will now calculate the prime factors of 52947 and 52962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52947 and 52962.

How to find the GCF of 52947 and 52962?

We will first find the prime factorization of 52947 and 52962. After we will calculate the factors of 52947 and 52962 and find the biggest common factor number .

Step-1: Prime Factorization of 52947

Prime factors of 52947 are 3, 37, 53. Prime factorization of 52947 in exponential form is:

52947 = 3³ × 37¹ × 53¹

Step-2: Prime Factorization of 52962

Prime factors of 52962 are 2, 3, 7, 13, 97. Prime factorization of 52962 in exponential form is:

52962 = 2¹ × 3¹ × 7¹ × 13¹ × 97¹

Step-3: Factors of 52947

List of positive integer factors of 52947 that divides 52947 without a remainder.

1, 3, 9, 27, 37, 53, 111, 159, 333, 477, 999, 1431, 1961, 5883, 17649

Step-4: Factors of 52962

List of positive integer factors of 52962 that divides 52947 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 97, 182, 194, 273, 291, 546, 582, 679, 1261, 1358, 2037, 2522, 3783, 4074, 7566, 8827, 17654, 26481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52947 and 52962. The biggest common factor number is the GCF number.
So the greatest common factor 52947 and 52962 is 3.

Also check out the Least Common Multiple of 52947 and 52962