What is the Greatest Common Factor of 22245 and 22260?

Greatest common factor (GCF) of 22245 and 22260 is 15.

GCF(22245,22260) = 15

We will now calculate the prime factors of 22245 and 22260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22245 and 22260.

How to find the GCF of 22245 and 22260?

We will first find the prime factorization of 22245 and 22260. After we will calculate the factors of 22245 and 22260 and find the biggest common factor number .

Step-1: Prime Factorization of 22245

Prime factors of 22245 are 3, 5, 1483. Prime factorization of 22245 in exponential form is:

22245 = 3¹ × 5¹ × 1483¹

Step-2: Prime Factorization of 22260

Prime factors of 22260 are 2, 3, 5, 7, 53. Prime factorization of 22260 in exponential form is:

22260 = 2² × 3¹ × 5¹ × 7¹ × 53¹

Step-3: Factors of 22245

List of positive integer factors of 22245 that divides 22245 without a remainder.

1, 3, 5, 15, 1483, 4449, 7415

Step-4: Factors of 22260

List of positive integer factors of 22260 that divides 22245 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 53, 60, 70, 84, 105, 106, 140, 159, 210, 212, 265, 318, 371, 420, 530, 636, 742, 795, 1060, 1113, 1484, 1590, 1855, 2226, 3180, 3710, 4452, 5565, 7420, 11130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22245 and 22260. The biggest common factor number is the GCF number.
So the greatest common factor 22245 and 22260 is 15.

Also check out the Least Common Multiple of 22245 and 22260