What is the Greatest Common Factor of 53988 and 54002?

Greatest common factor (GCF) of 53988 and 54002 is 2.

GCF(53988,54002) = 2

We will now calculate the prime factors of 53988 and 54002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53988 and 54002.

How to find the GCF of 53988 and 54002?

We will first find the prime factorization of 53988 and 54002. After we will calculate the factors of 53988 and 54002 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 54002

Prime factors of 54002 are 2, 13, 31, 67. Prime factorization of 54002 in exponential form is:

54002 = 2¹ × 13¹ × 31¹ × 67¹

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 54002

List of positive integer factors of 54002 that divides 53988 without a remainder.

1, 2, 13, 26, 31, 62, 67, 134, 403, 806, 871, 1742, 2077, 4154, 27001

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53988 and 54002. The biggest common factor number is the GCF number.
So the greatest common factor 53988 and 54002 is 2.

Also check out the Least Common Multiple of 53988 and 54002