What is the Greatest Common Factor of 66110 and 66121?

Greatest common factor (GCF) of 66110 and 66121 is 11.

GCF(66110,66121) = 11

We will now calculate the prime factors of 66110 and 66121, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66110 and 66121.

How to find the GCF of 66110 and 66121?

We will first find the prime factorization of 66110 and 66121. After we will calculate the factors of 66110 and 66121 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66121

Prime factors of 66121 are 11, 6011. Prime factorization of 66121 in exponential form is:

66121 = 11¹ × 6011¹

Step-3: Factors of 66110

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

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

Step-4: Factors of 66121

List of positive integer factors of 66121 that divides 66110 without a remainder.

1, 11, 6011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66110 and 66121. The biggest common factor number is the GCF number.
So the greatest common factor 66110 and 66121 is 11.

Also check out the Least Common Multiple of 66110 and 66121