What is the Greatest Common Factor of 66649 and 66660?

Greatest common factor (GCF) of 66649 and 66660 is 11.

GCF(66649,66660) = 11

We will now calculate the prime factors of 66649 and 66660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66649 and 66660.

How to find the GCF of 66649 and 66660?

We will first find the prime factorization of 66649 and 66660. After we will calculate the factors of 66649 and 66660 and find the biggest common factor number .

Step-1: Prime Factorization of 66649

Prime factors of 66649 are 11, 73, 83. Prime factorization of 66649 in exponential form is:

66649 = 11¹ × 73¹ × 83¹

Step-2: Prime Factorization of 66660

Prime factors of 66660 are 2, 3, 5, 11, 101. Prime factorization of 66660 in exponential form is:

66660 = 2² × 3¹ × 5¹ × 11¹ × 101¹

Step-3: Factors of 66649

List of positive integer factors of 66649 that divides 66649 without a remainder.

1, 11, 73, 83, 803, 913, 6059

Step-4: Factors of 66660

List of positive integer factors of 66660 that divides 66649 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 101, 110, 132, 165, 202, 220, 303, 330, 404, 505, 606, 660, 1010, 1111, 1212, 1515, 2020, 2222, 3030, 3333, 4444, 5555, 6060, 6666, 11110, 13332, 16665, 22220, 33330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66649 and 66660. The biggest common factor number is the GCF number.
So the greatest common factor 66649 and 66660 is 11.

Also check out the Least Common Multiple of 66649 and 66660