What is the Greatest Common Factor of 22560 and 22578?

Greatest common factor (GCF) of 22560 and 22578 is 6.

GCF(22560,22578) = 6

We will now calculate the prime factors of 22560 and 22578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22560 and 22578.

How to find the GCF of 22560 and 22578?

We will first find the prime factorization of 22560 and 22578. After we will calculate the factors of 22560 and 22578 and find the biggest common factor number .

Step-1: Prime Factorization of 22560

Prime factors of 22560 are 2, 3, 5, 47. Prime factorization of 22560 in exponential form is:

22560 = 2⁵ × 3¹ × 5¹ × 47¹

Step-2: Prime Factorization of 22578

Prime factors of 22578 are 2, 3, 53, 71. Prime factorization of 22578 in exponential form is:

22578 = 2¹ × 3¹ × 53¹ × 71¹

Step-3: Factors of 22560

List of positive integer factors of 22560 that divides 22560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 47, 48, 60, 80, 94, 96, 120, 141, 160, 188, 235, 240, 282, 376, 470, 480, 564, 705, 752, 940, 1128, 1410, 1504, 1880, 2256, 2820, 3760, 4512, 5640, 7520, 11280

Step-4: Factors of 22578

List of positive integer factors of 22578 that divides 22560 without a remainder.

1, 2, 3, 6, 53, 71, 106, 142, 159, 213, 318, 426, 3763, 7526, 11289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22560 and 22578. The biggest common factor number is the GCF number.
So the greatest common factor 22560 and 22578 is 6.

Also check out the Least Common Multiple of 22560 and 22578