What is the Greatest Common Factor of 54552 and 54560?

Greatest common factor (GCF) of 54552 and 54560 is 8.

GCF(54552,54560) = 8

We will now calculate the prime factors of 54552 and 54560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54552 and 54560.

How to find the GCF of 54552 and 54560?

We will first find the prime factorization of 54552 and 54560. After we will calculate the factors of 54552 and 54560 and find the biggest common factor number .

Step-1: Prime Factorization of 54552

Prime factors of 54552 are 2, 3, 2273. Prime factorization of 54552 in exponential form is:

54552 = 2³ × 3¹ × 2273¹

Step-2: Prime Factorization of 54560

Prime factors of 54560 are 2, 5, 11, 31. Prime factorization of 54560 in exponential form is:

54560 = 2⁵ × 5¹ × 11¹ × 31¹

Step-3: Factors of 54552

List of positive integer factors of 54552 that divides 54552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2273, 4546, 6819, 9092, 13638, 18184, 27276

Step-4: Factors of 54560

List of positive integer factors of 54560 that divides 54552 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 31, 32, 40, 44, 55, 62, 80, 88, 110, 124, 155, 160, 176, 220, 248, 310, 341, 352, 440, 496, 620, 682, 880, 992, 1240, 1364, 1705, 1760, 2480, 2728, 3410, 4960, 5456, 6820, 10912, 13640, 27280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54552 and 54560. The biggest common factor number is the GCF number.
So the greatest common factor 54552 and 54560 is 8.

Also check out the Least Common Multiple of 54552 and 54560