What is the Greatest Common Factor of 55744 and 55752?

Greatest common factor (GCF) of 55744 and 55752 is 8.

GCF(55744,55752) = 8

We will now calculate the prime factors of 55744 and 55752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55744 and 55752.

How to find the GCF of 55744 and 55752?

We will first find the prime factorization of 55744 and 55752. After we will calculate the factors of 55744 and 55752 and find the biggest common factor number .

Step-1: Prime Factorization of 55744

Prime factors of 55744 are 2, 13, 67. Prime factorization of 55744 in exponential form is:

55744 = 2⁶ × 13¹ × 67¹

Step-2: Prime Factorization of 55752

Prime factors of 55752 are 2, 3, 23, 101. Prime factorization of 55752 in exponential form is:

55752 = 2³ × 3¹ × 23¹ × 101¹

Step-3: Factors of 55744

List of positive integer factors of 55744 that divides 55744 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 67, 104, 134, 208, 268, 416, 536, 832, 871, 1072, 1742, 2144, 3484, 4288, 6968, 13936, 27872

Step-4: Factors of 55752

List of positive integer factors of 55752 that divides 55744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 101, 138, 184, 202, 276, 303, 404, 552, 606, 808, 1212, 2323, 2424, 4646, 6969, 9292, 13938, 18584, 27876

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55744 and 55752. The biggest common factor number is the GCF number.
So the greatest common factor 55744 and 55752 is 8.

Also check out the Least Common Multiple of 55744 and 55752