What is the Greatest Common Factor of 22256 and 22270?

Greatest common factor (GCF) of 22256 and 22270 is 2.

GCF(22256,22270) = 2

We will now calculate the prime factors of 22256 and 22270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22256 and 22270.

How to find the GCF of 22256 and 22270?

We will first find the prime factorization of 22256 and 22270. After we will calculate the factors of 22256 and 22270 and find the biggest common factor number .

Step-1: Prime Factorization of 22256

Prime factors of 22256 are 2, 13, 107. Prime factorization of 22256 in exponential form is:

22256 = 2⁴ × 13¹ × 107¹

Step-2: Prime Factorization of 22270

Prime factors of 22270 are 2, 5, 17, 131. Prime factorization of 22270 in exponential form is:

22270 = 2¹ × 5¹ × 17¹ × 131¹

Step-3: Factors of 22256

List of positive integer factors of 22256 that divides 22256 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 107, 208, 214, 428, 856, 1391, 1712, 2782, 5564, 11128

Step-4: Factors of 22270

List of positive integer factors of 22270 that divides 22256 without a remainder.

1, 2, 5, 10, 17, 34, 85, 131, 170, 262, 655, 1310, 2227, 4454, 11135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22256 and 22270. The biggest common factor number is the GCF number.
So the greatest common factor 22256 and 22270 is 2.

Also check out the Least Common Multiple of 22256 and 22270