What is the Greatest Common Factor of 11100 and 11110?

Greatest common factor (GCF) of 11100 and 11110 is 10.

GCF(11100,11110) = 10

We will now calculate the prime factors of 11100 and 11110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11100 and 11110.

How to find the GCF of 11100 and 11110?

We will first find the prime factorization of 11100 and 11110. After we will calculate the factors of 11100 and 11110 and find the biggest common factor number .

Step-1: Prime Factorization of 11100

Prime factors of 11100 are 2, 3, 5, 37. Prime factorization of 11100 in exponential form is:

11100 = 2² × 3¹ × 5² × 37¹

Step-2: Prime Factorization of 11110

Prime factors of 11110 are 2, 5, 11, 101. Prime factorization of 11110 in exponential form is:

11110 = 2¹ × 5¹ × 11¹ × 101¹

Step-3: Factors of 11100

List of positive integer factors of 11100 that divides 11100 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 37, 50, 60, 74, 75, 100, 111, 148, 150, 185, 222, 300, 370, 444, 555, 740, 925, 1110, 1850, 2220, 2775, 3700, 5550

Step-4: Factors of 11110

List of positive integer factors of 11110 that divides 11100 without a remainder.

1, 2, 5, 10, 11, 22, 55, 101, 110, 202, 505, 1010, 1111, 2222, 5555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11100 and 11110. The biggest common factor number is the GCF number.
So the greatest common factor 11100 and 11110 is 10.

Also check out the Least Common Multiple of 11100 and 11110