What is the Greatest Common Factor of 22077 and 22095?

Greatest common factor (GCF) of 22077 and 22095 is 9.

GCF(22077,22095) = 9

We will now calculate the prime factors of 22077 and 22095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22077 and 22095.

How to find the GCF of 22077 and 22095?

We will first find the prime factorization of 22077 and 22095. After we will calculate the factors of 22077 and 22095 and find the biggest common factor number .

Step-1: Prime Factorization of 22077

Prime factors of 22077 are 3, 11, 223. Prime factorization of 22077 in exponential form is:

22077 = 3² × 11¹ × 223¹

Step-2: Prime Factorization of 22095

Prime factors of 22095 are 3, 5, 491. Prime factorization of 22095 in exponential form is:

22095 = 3² × 5¹ × 491¹

Step-3: Factors of 22077

List of positive integer factors of 22077 that divides 22077 without a remainder.

1, 3, 9, 11, 33, 99, 223, 669, 2007, 2453, 7359

Step-4: Factors of 22095

List of positive integer factors of 22095 that divides 22077 without a remainder.

1, 3, 5, 9, 15, 45, 491, 1473, 2455, 4419, 7365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22077 and 22095. The biggest common factor number is the GCF number.
So the greatest common factor 22077 and 22095 is 9.

Also check out the Least Common Multiple of 22077 and 22095