What is the Greatest Common Factor of 22274 and 22280?

Greatest common factor (GCF) of 22274 and 22280 is 2.

GCF(22274,22280) = 2

We will now calculate the prime factors of 22274 and 22280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22274 and 22280.

How to find the GCF of 22274 and 22280?

We will first find the prime factorization of 22274 and 22280. After we will calculate the factors of 22274 and 22280 and find the biggest common factor number .

Step-1: Prime Factorization of 22274

Prime factors of 22274 are 2, 7, 37, 43. Prime factorization of 22274 in exponential form is:

22274 = 2¹ × 7¹ × 37¹ × 43¹

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 22274

List of positive integer factors of 22274 that divides 22274 without a remainder.

1, 2, 7, 14, 37, 43, 74, 86, 259, 301, 518, 602, 1591, 3182, 11137

Step-4: Factors of 22280

List of positive integer factors of 22280 that divides 22274 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 22274 and 22280. The biggest common factor number is the GCF number.
So the greatest common factor 22274 and 22280 is 2.

Also check out the Least Common Multiple of 22274 and 22280