What is the Greatest Common Factor of 55752 and 55760?

Greatest common factor (GCF) of 55752 and 55760 is 8.

GCF(55752,55760) = 8

We will now calculate the prime factors of 55752 and 55760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55752 and 55760.

How to find the GCF of 55752 and 55760?

We will first find the prime factorization of 55752 and 55760. After we will calculate the factors of 55752 and 55760 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55760

Prime factors of 55760 are 2, 5, 17, 41. Prime factorization of 55760 in exponential form is:

55760 = 2⁴ × 5¹ × 17¹ × 41¹

Step-3: Factors of 55752

List of positive integer factors of 55752 that divides 55752 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

Step-4: Factors of 55760

List of positive integer factors of 55760 that divides 55752 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 41, 68, 80, 82, 85, 136, 164, 170, 205, 272, 328, 340, 410, 656, 680, 697, 820, 1360, 1394, 1640, 2788, 3280, 3485, 5576, 6970, 11152, 13940, 27880

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55752 and 55760. The biggest common factor number is the GCF number.
So the greatest common factor 55752 and 55760 is 8.

Also check out the Least Common Multiple of 55752 and 55760