What is the Greatest Common Factor of 22075 and 22080?

Greatest common factor (GCF) of 22075 and 22080 is 5.

GCF(22075,22080) = 5

We will now calculate the prime factors of 22075 and 22080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22075 and 22080.

How to find the GCF of 22075 and 22080?

We will first find the prime factorization of 22075 and 22080. After we will calculate the factors of 22075 and 22080 and find the biggest common factor number .

Step-1: Prime Factorization of 22075

Prime factors of 22075 are 5, 883. Prime factorization of 22075 in exponential form is:

22075 = 5² × 883¹

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 22075

List of positive integer factors of 22075 that divides 22075 without a remainder.

1, 5, 25, 883, 4415

Step-4: Factors of 22080

List of positive integer factors of 22080 that divides 22075 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 22075 and 22080. The biggest common factor number is the GCF number.
So the greatest common factor 22075 and 22080 is 5.

Also check out the Least Common Multiple of 22075 and 22080