What is the Greatest Common Factor of 22130 and 22135?

Greatest common factor (GCF) of 22130 and 22135 is 5.

GCF(22130,22135) = 5

We will now calculate the prime factors of 22130 and 22135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22130 and 22135.

How to find the GCF of 22130 and 22135?

We will first find the prime factorization of 22130 and 22135. After we will calculate the factors of 22130 and 22135 and find the biggest common factor number .

Step-1: Prime Factorization of 22130

Prime factors of 22130 are 2, 5, 2213. Prime factorization of 22130 in exponential form is:

22130 = 2¹ × 5¹ × 2213¹

Step-2: Prime Factorization of 22135

Prime factors of 22135 are 5, 19, 233. Prime factorization of 22135 in exponential form is:

22135 = 5¹ × 19¹ × 233¹

Step-3: Factors of 22130

List of positive integer factors of 22130 that divides 22130 without a remainder.

1, 2, 5, 10, 2213, 4426, 11065

Step-4: Factors of 22135

List of positive integer factors of 22135 that divides 22130 without a remainder.

1, 5, 19, 95, 233, 1165, 4427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22130 and 22135. The biggest common factor number is the GCF number.
So the greatest common factor 22130 and 22135 is 5.

Also check out the Least Common Multiple of 22130 and 22135