What is the Greatest Common Factor of 55464 and 55484?

Greatest common factor (GCF) of 55464 and 55484 is 4.

GCF(55464,55484) = 4

We will now calculate the prime factors of 55464 and 55484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55464 and 55484.

How to find the GCF of 55464 and 55484?

We will first find the prime factorization of 55464 and 55484. After we will calculate the factors of 55464 and 55484 and find the biggest common factor number .

Step-1: Prime Factorization of 55464

Prime factors of 55464 are 2, 3, 2311. Prime factorization of 55464 in exponential form is:

55464 = 2³ × 3¹ × 2311¹

Step-2: Prime Factorization of 55484

Prime factors of 55484 are 2, 11, 13, 97. Prime factorization of 55484 in exponential form is:

55484 = 2² × 11¹ × 13¹ × 97¹

Step-3: Factors of 55464

List of positive integer factors of 55464 that divides 55464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2311, 4622, 6933, 9244, 13866, 18488, 27732

Step-4: Factors of 55484

List of positive integer factors of 55484 that divides 55464 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 97, 143, 194, 286, 388, 572, 1067, 1261, 2134, 2522, 4268, 5044, 13871, 27742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55464 and 55484. The biggest common factor number is the GCF number.
So the greatest common factor 55464 and 55484 is 4.

Also check out the Least Common Multiple of 55464 and 55484