What is the Greatest Common Factor of 22555 and 22560?

Greatest common factor (GCF) of 22555 and 22560 is 5.

GCF(22555,22560) = 5

We will now calculate the prime factors of 22555 and 22560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22555 and 22560.

How to find the GCF of 22555 and 22560?

We will first find the prime factorization of 22555 and 22560. After we will calculate the factors of 22555 and 22560 and find the biggest common factor number .

Step-1: Prime Factorization of 22555

Prime factors of 22555 are 5, 13, 347. Prime factorization of 22555 in exponential form is:

22555 = 5¹ × 13¹ × 347¹

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 22555

List of positive integer factors of 22555 that divides 22555 without a remainder.

1, 5, 13, 65, 347, 1735, 4511

Step-4: Factors of 22560

List of positive integer factors of 22560 that divides 22555 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 22555 and 22560. The biggest common factor number is the GCF number.
So the greatest common factor 22555 and 22560 is 5.

Also check out the Least Common Multiple of 22555 and 22560