What is the Greatest Common Factor of 66114 and 66120?

Greatest common factor (GCF) of 66114 and 66120 is 6.

GCF(66114,66120) = 6

We will now calculate the prime factors of 66114 and 66120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66114 and 66120.

How to find the GCF of 66114 and 66120?

We will first find the prime factorization of 66114 and 66120. After we will calculate the factors of 66114 and 66120 and find the biggest common factor number .

Step-1: Prime Factorization of 66114

Prime factors of 66114 are 2, 3, 3673. Prime factorization of 66114 in exponential form is:

66114 = 2¹ × 3² × 3673¹

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 66114

List of positive integer factors of 66114 that divides 66114 without a remainder.

1, 2, 3, 6, 9, 18, 3673, 7346, 11019, 22038, 33057

Step-4: Factors of 66120

List of positive integer factors of 66120 that divides 66114 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 66114 and 66120. The biggest common factor number is the GCF number.
So the greatest common factor 66114 and 66120 is 6.

Also check out the Least Common Multiple of 66114 and 66120