What is the Greatest Common Factor of 66100 and 66110?

Greatest common factor (GCF) of 66100 and 66110 is 10.

GCF(66100,66110) = 10

We will now calculate the prime factors of 66100 and 66110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66100 and 66110.

How to find the GCF of 66100 and 66110?

We will first find the prime factorization of 66100 and 66110. After we will calculate the factors of 66100 and 66110 and find the biggest common factor number .

Step-1: Prime Factorization of 66100

Prime factors of 66100 are 2, 5, 661. Prime factorization of 66100 in exponential form is:

66100 = 2² × 5² × 661¹

Step-2: Prime Factorization of 66110

Prime factors of 66110 are 2, 5, 11, 601. Prime factorization of 66110 in exponential form is:

66110 = 2¹ × 5¹ × 11¹ × 601¹

Step-3: Factors of 66100

List of positive integer factors of 66100 that divides 66100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 661, 1322, 2644, 3305, 6610, 13220, 16525, 33050

Step-4: Factors of 66110

List of positive integer factors of 66110 that divides 66100 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 601, 1202, 3005, 6010, 6611, 13222, 33055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66100 and 66110. The biggest common factor number is the GCF number.
So the greatest common factor 66100 and 66110 is 10.

Also check out the Least Common Multiple of 66100 and 66110