What is the Greatest Common Factor of 22235 and 22250?

Greatest common factor (GCF) of 22235 and 22250 is 5.

GCF(22235,22250) = 5

We will now calculate the prime factors of 22235 and 22250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22235 and 22250.

How to find the GCF of 22235 and 22250?

We will first find the prime factorization of 22235 and 22250. After we will calculate the factors of 22235 and 22250 and find the biggest common factor number .

Step-1: Prime Factorization of 22235

Prime factors of 22235 are 5, 4447. Prime factorization of 22235 in exponential form is:

22235 = 5¹ × 4447¹

Step-2: Prime Factorization of 22250

Prime factors of 22250 are 2, 5, 89. Prime factorization of 22250 in exponential form is:

22250 = 2¹ × 5³ × 89¹

Step-3: Factors of 22235

List of positive integer factors of 22235 that divides 22235 without a remainder.

1, 5, 4447

Step-4: Factors of 22250

List of positive integer factors of 22250 that divides 22235 without a remainder.

1, 2, 5, 10, 25, 50, 89, 125, 178, 250, 445, 890, 2225, 4450, 11125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22235 and 22250. The biggest common factor number is the GCF number.
So the greatest common factor 22235 and 22250 is 5.

Also check out the Least Common Multiple of 22235 and 22250