What is the Greatest Common Factor of 54560 and 54566?

Greatest common factor (GCF) of 54560 and 54566 is 2.

GCF(54560,54566) = 2

We will now calculate the prime factors of 54560 and 54566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54560 and 54566.

How to find the GCF of 54560 and 54566?

We will first find the prime factorization of 54560 and 54566. After we will calculate the factors of 54560 and 54566 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 54566

Prime factors of 54566 are 2, 27283. Prime factorization of 54566 in exponential form is:

54566 = 2¹ × 27283¹

Step-3: Factors of 54560

List of positive integer factors of 54560 that divides 54560 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

Step-4: Factors of 54566

List of positive integer factors of 54566 that divides 54560 without a remainder.

1, 2, 27283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54560 and 54566. The biggest common factor number is the GCF number.
So the greatest common factor 54560 and 54566 is 2.

Also check out the Least Common Multiple of 54560 and 54566