What is the Greatest Common Factor of 22550 and 22560?

Greatest common factor (GCF) of 22550 and 22560 is 10.

GCF(22550,22560) = 10

We will now calculate the prime factors of 22550 and 22560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22550 and 22560.

How to find the GCF of 22550 and 22560?

We will first find the prime factorization of 22550 and 22560. After we will calculate the factors of 22550 and 22560 and find the biggest common factor number .

Step-1: Prime Factorization of 22550

Prime factors of 22550 are 2, 5, 11, 41. Prime factorization of 22550 in exponential form is:

22550 = 2¹ × 5² × 11¹ × 41¹

Step-2: 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-3: Factors of 22550

List of positive integer factors of 22550 that divides 22550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 41, 50, 55, 82, 110, 205, 275, 410, 451, 550, 902, 1025, 2050, 2255, 4510, 11275

Step-4: Factors of 22560

List of positive integer factors of 22560 that divides 22550 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22550 and 22560. The biggest common factor number is the GCF number.
So the greatest common factor 22550 and 22560 is 10.

Also check out the Least Common Multiple of 22550 and 22560