What is the Greatest Common Factor of 22060 and 22080?

Greatest common factor (GCF) of 22060 and 22080 is 20.

GCF(22060,22080) = 20

We will now calculate the prime factors of 22060 and 22080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22060 and 22080.

How to find the GCF of 22060 and 22080?

We will first find the prime factorization of 22060 and 22080. After we will calculate the factors of 22060 and 22080 and find the biggest common factor number .

Step-1: Prime Factorization of 22060

Prime factors of 22060 are 2, 5, 1103. Prime factorization of 22060 in exponential form is:

22060 = 2² × 5¹ × 1103¹

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 22060

List of positive integer factors of 22060 that divides 22060 without a remainder.

1, 2, 4, 5, 10, 20, 1103, 2206, 4412, 5515, 11030

Step-4: Factors of 22080

List of positive integer factors of 22080 that divides 22060 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 22060 and 22080. The biggest common factor number is the GCF number.
So the greatest common factor 22060 and 22080 is 20.

Also check out the Least Common Multiple of 22060 and 22080