What is the Greatest Common Factor of 66111 and 66120?

Greatest common factor (GCF) of 66111 and 66120 is 3.

GCF(66111,66120) = 3

We will now calculate the prime factors of 66111 and 66120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66111 and 66120.

How to find the GCF of 66111 and 66120?

We will first find the prime factorization of 66111 and 66120. After we will calculate the factors of 66111 and 66120 and find the biggest common factor number .

Step-1: Prime Factorization of 66111

Prime factors of 66111 are 3, 22037. Prime factorization of 66111 in exponential form is:

66111 = 3¹ × 22037¹

Step-2: Prime Factorization of 66120

Prime factors of 66120 are 2, 3, 5, 19, 29. Prime factorization of 66120 in exponential form is:

66120 = 2³ × 3¹ × 5¹ × 19¹ × 29¹

Step-3: Factors of 66111

List of positive integer factors of 66111 that divides 66111 without a remainder.

1, 3, 22037

Step-4: Factors of 66120

List of positive integer factors of 66120 that divides 66111 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 29, 30, 38, 40, 57, 58, 60, 76, 87, 95, 114, 116, 120, 145, 152, 174, 190, 228, 232, 285, 290, 348, 380, 435, 456, 551, 570, 580, 696, 760, 870, 1102, 1140, 1160, 1653, 1740, 2204, 2280, 2755, 3306, 3480, 4408, 5510, 6612, 8265, 11020, 13224, 16530, 22040, 33060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66111 and 66120. The biggest common factor number is the GCF number.
So the greatest common factor 66111 and 66120 is 3.

Also check out the Least Common Multiple of 66111 and 66120