What is the Greatest Common Factor of 55464 and 55479?

Greatest common factor (GCF) of 55464 and 55479 is 3.

GCF(55464,55479) = 3

We will now calculate the prime factors of 55464 and 55479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55464 and 55479.

How to find the GCF of 55464 and 55479?

We will first find the prime factorization of 55464 and 55479. After we will calculate the factors of 55464 and 55479 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 55479

Prime factors of 55479 are 3, 18493. Prime factorization of 55479 in exponential form is:

55479 = 3¹ × 18493¹

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 55479

List of positive integer factors of 55479 that divides 55464 without a remainder.

1, 3, 18493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55464 and 55479. The biggest common factor number is the GCF number.
So the greatest common factor 55464 and 55479 is 3.

Also check out the Least Common Multiple of 55464 and 55479