What is the Greatest Common Factor of 22254 and 22260?

Greatest common factor (GCF) of 22254 and 22260 is 6.

GCF(22254,22260) = 6

We will now calculate the prime factors of 22254 and 22260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22254 and 22260.

How to find the GCF of 22254 and 22260?

We will first find the prime factorization of 22254 and 22260. After we will calculate the factors of 22254 and 22260 and find the biggest common factor number .

Step-1: Prime Factorization of 22254

Prime factors of 22254 are 2, 3, 3709. Prime factorization of 22254 in exponential form is:

22254 = 2¹ × 3¹ × 3709¹

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 22254

List of positive integer factors of 22254 that divides 22254 without a remainder.

1, 2, 3, 6, 3709, 7418, 11127

Step-4: Factors of 22260

List of positive integer factors of 22260 that divides 22254 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 22254 and 22260. The biggest common factor number is the GCF number.
So the greatest common factor 22254 and 22260 is 6.

Also check out the Least Common Multiple of 22254 and 22260