What is the Greatest Common Factor of 22261 and 22280?

Greatest common factor (GCF) of 22261 and 22280 is 1.

GCF(22261,22280) = 1

We will now calculate the prime factors of 22261 and 22280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22261 and 22280.

How to find the GCF of 22261 and 22280?

We will first find the prime factorization of 22261 and 22280. After we will calculate the factors of 22261 and 22280 and find the biggest common factor number .

Step-1: Prime Factorization of 22261

Prime factors of 22261 are 113, 197. Prime factorization of 22261 in exponential form is:

22261 = 113¹ × 197¹

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 22261

List of positive integer factors of 22261 that divides 22261 without a remainder.

1, 113, 197

Step-4: Factors of 22280

List of positive integer factors of 22280 that divides 22261 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 22261 and 22280. The biggest common factor number is the GCF number.
So the greatest common factor 22261 and 22280 is 1.

Also check out the Least Common Multiple of 22261 and 22280