What is the Greatest Common Factor of 10880 and 10900?

Greatest common factor (GCF) of 10880 and 10900 is 20.

GCF(10880,10900) = 20

We will now calculate the prime factors of 10880 and 10900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10880 and 10900.

How to find the GCF of 10880 and 10900?

We will first find the prime factorization of 10880 and 10900. After we will calculate the factors of 10880 and 10900 and find the biggest common factor number .

Step-1: Prime Factorization of 10880

Prime factors of 10880 are 2, 5, 17. Prime factorization of 10880 in exponential form is:

10880 = 2⁷ × 5¹ × 17¹

Step-2: Prime Factorization of 10900

Prime factors of 10900 are 2, 5, 109. Prime factorization of 10900 in exponential form is:

10900 = 2² × 5² × 109¹

Step-3: Factors of 10880

List of positive integer factors of 10880 that divides 10880 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85, 128, 136, 160, 170, 272, 320, 340, 544, 640, 680, 1088, 1360, 2176, 2720, 5440

Step-4: Factors of 10900

List of positive integer factors of 10900 that divides 10880 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 109, 218, 436, 545, 1090, 2180, 2725, 5450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10880 and 10900. The biggest common factor number is the GCF number.
So the greatest common factor 10880 and 10900 is 20.

Also check out the Least Common Multiple of 10880 and 10900