What is the Greatest Common Factor of 22262 and 22280?

Greatest common factor (GCF) of 22262 and 22280 is 2.

GCF(22262,22280) = 2

We will now calculate the prime factors of 22262 and 22280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22262 and 22280.

How to find the GCF of 22262 and 22280?

We will first find the prime factorization of 22262 and 22280. After we will calculate the factors of 22262 and 22280 and find the biggest common factor number .

Step-1: Prime Factorization of 22262

Prime factors of 22262 are 2, 11131. Prime factorization of 22262 in exponential form is:

22262 = 2¹ × 11131¹

Step-2: Prime Factorization of 22280

Prime factors of 22280 are 2, 5, 557. Prime factorization of 22280 in exponential form is:

22280 = 2³ × 5¹ × 557¹

Step-3: Factors of 22262

List of positive integer factors of 22262 that divides 22262 without a remainder.

1, 2, 11131

Step-4: Factors of 22280

List of positive integer factors of 22280 that divides 22262 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 557, 1114, 2228, 2785, 4456, 5570, 11140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22262 and 22280. The biggest common factor number is the GCF number.
So the greatest common factor 22262 and 22280 is 2.

Also check out the Least Common Multiple of 22262 and 22280