What is the Greatest Common Factor of 22045 and 22065?

Greatest common factor (GCF) of 22045 and 22065 is 5.

GCF(22045,22065) = 5

We will now calculate the prime factors of 22045 and 22065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22045 and 22065.

How to find the GCF of 22045 and 22065?

We will first find the prime factorization of 22045 and 22065. After we will calculate the factors of 22045 and 22065 and find the biggest common factor number .

Step-1: Prime Factorization of 22045

Prime factors of 22045 are 5, 4409. Prime factorization of 22045 in exponential form is:

22045 = 5¹ × 4409¹

Step-2: Prime Factorization of 22065

Prime factors of 22065 are 3, 5, 1471. Prime factorization of 22065 in exponential form is:

22065 = 3¹ × 5¹ × 1471¹

Step-3: Factors of 22045

List of positive integer factors of 22045 that divides 22045 without a remainder.

1, 5, 4409

Step-4: Factors of 22065

List of positive integer factors of 22065 that divides 22045 without a remainder.

1, 3, 5, 15, 1471, 4413, 7355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22045 and 22065. The biggest common factor number is the GCF number.
So the greatest common factor 22045 and 22065 is 5.

Also check out the Least Common Multiple of 22045 and 22065