What is the Greatest Common Factor of 22065 and 22080?

Greatest common factor (GCF) of 22065 and 22080 is 15.

GCF(22065,22080) = 15

We will now calculate the prime factors of 22065 and 22080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22065 and 22080.

How to find the GCF of 22065 and 22080?

We will first find the prime factorization of 22065 and 22080. After we will calculate the factors of 22065 and 22080 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22080

Prime factors of 22080 are 2, 3, 5, 23. Prime factorization of 22080 in exponential form is:

22080 = 2⁶ × 3¹ × 5¹ × 23¹

Step-3: Factors of 22065

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

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

Step-4: Factors of 22080

List of positive integer factors of 22080 that divides 22065 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 32, 40, 46, 48, 60, 64, 69, 80, 92, 96, 115, 120, 138, 160, 184, 192, 230, 240, 276, 320, 345, 368, 460, 480, 552, 690, 736, 920, 960, 1104, 1380, 1472, 1840, 2208, 2760, 3680, 4416, 5520, 7360, 11040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22065 and 22080. The biggest common factor number is the GCF number.
So the greatest common factor 22065 and 22080 is 15.

Also check out the Least Common Multiple of 22065 and 22080