What is the Greatest Common Factor of 22250 and 22265?

Greatest common factor (GCF) of 22250 and 22265 is 5.

GCF(22250,22265) = 5

We will now calculate the prime factors of 22250 and 22265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22250 and 22265.

How to find the GCF of 22250 and 22265?

We will first find the prime factorization of 22250 and 22265. After we will calculate the factors of 22250 and 22265 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22265

Prime factors of 22265 are 5, 61, 73. Prime factorization of 22265 in exponential form is:

22265 = 5¹ × 61¹ × 73¹

Step-3: Factors of 22250

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

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

Step-4: Factors of 22265

List of positive integer factors of 22265 that divides 22250 without a remainder.

1, 5, 61, 73, 305, 365, 4453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22250 and 22265. The biggest common factor number is the GCF number.
So the greatest common factor 22250 and 22265 is 5.

Also check out the Least Common Multiple of 22250 and 22265