What is the Greatest Common Factor of 53976 and 53988?

Greatest common factor (GCF) of 53976 and 53988 is 12.

GCF(53976,53988) = 12

We will now calculate the prime factors of 53976 and 53988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53976 and 53988.

How to find the GCF of 53976 and 53988?

We will first find the prime factorization of 53976 and 53988. After we will calculate the factors of 53976 and 53988 and find the biggest common factor number .

Step-1: Prime Factorization of 53976

Prime factors of 53976 are 2, 3, 13, 173. Prime factorization of 53976 in exponential form is:

53976 = 2³ × 3¹ × 13¹ × 173¹

Step-2: 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-3: Factors of 53976

List of positive integer factors of 53976 that divides 53976 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 173, 312, 346, 519, 692, 1038, 1384, 2076, 2249, 4152, 4498, 6747, 8996, 13494, 17992, 26988

Step-4: Factors of 53988

List of positive integer factors of 53988 that divides 53976 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53976 and 53988. The biggest common factor number is the GCF number.
So the greatest common factor 53976 and 53988 is 12.

Also check out the Least Common Multiple of 53976 and 53988