What is the Greatest Common Factor of 54560 and 54567?

Greatest common factor (GCF) of 54560 and 54567 is 1.

GCF(54560,54567) = 1

We will now calculate the prime factors of 54560 and 54567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54560 and 54567.

How to find the GCF of 54560 and 54567?

We will first find the prime factorization of 54560 and 54567. After we will calculate the factors of 54560 and 54567 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 54567

Prime factors of 54567 are 3, 43, 47. Prime factorization of 54567 in exponential form is:

54567 = 3³ × 43¹ × 47¹

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 54567

List of positive integer factors of 54567 that divides 54560 without a remainder.

1, 3, 9, 27, 43, 47, 129, 141, 387, 423, 1161, 1269, 2021, 6063, 18189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54560 and 54567. The biggest common factor number is the GCF number.
So the greatest common factor 54560 and 54567 is 1.

Also check out the Least Common Multiple of 54560 and 54567