What is the Greatest Common Factor of 22056 and 22065?

Greatest common factor (GCF) of 22056 and 22065 is 3.

GCF(22056,22065) = 3

We will now calculate the prime factors of 22056 and 22065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22056 and 22065.

How to find the GCF of 22056 and 22065?

We will first find the prime factorization of 22056 and 22065. After we will calculate the factors of 22056 and 22065 and find the biggest common factor number .

Step-1: Prime Factorization of 22056

Prime factors of 22056 are 2, 3, 919. Prime factorization of 22056 in exponential form is:

22056 = 2³ × 3¹ × 919¹

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 22056

List of positive integer factors of 22056 that divides 22056 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 919, 1838, 2757, 3676, 5514, 7352, 11028

Step-4: Factors of 22065

List of positive integer factors of 22065 that divides 22056 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22056 and 22065. The biggest common factor number is the GCF number.
So the greatest common factor 22056 and 22065 is 3.

Also check out the Least Common Multiple of 22056 and 22065