What is the Greatest Common Factor of 53988 and 53999?

Greatest common factor (GCF) of 53988 and 53999 is 11.

GCF(53988,53999) = 11

We will now calculate the prime factors of 53988 and 53999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53988 and 53999.

How to find the GCF of 53988 and 53999?

We will first find the prime factorization of 53988 and 53999. After we will calculate the factors of 53988 and 53999 and find the biggest common factor number .

Step-1: Prime Factorization of 53988

Prime factors of 53988 are 2, 3, 11, 409. Prime factorization of 53988 in exponential form is:

53988 = 2² × 3¹ × 11¹ × 409¹

Step-2: Prime Factorization of 53999

Prime factors of 53999 are 11, 4909. Prime factorization of 53999 in exponential form is:

53999 = 11¹ × 4909¹

Step-3: Factors of 53988

List of positive integer factors of 53988 that divides 53988 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 409, 818, 1227, 1636, 2454, 4499, 4908, 8998, 13497, 17996, 26994

Step-4: Factors of 53999

List of positive integer factors of 53999 that divides 53988 without a remainder.

1, 11, 4909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53988 and 53999. The biggest common factor number is the GCF number.
So the greatest common factor 53988 and 53999 is 11.

Also check out the Least Common Multiple of 53988 and 53999