What is the Greatest Common Factor of 66120 and 66140?

Greatest common factor (GCF) of 66120 and 66140 is 20.

GCF(66120,66140) = 20

We will now calculate the prime factors of 66120 and 66140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66120 and 66140.

How to find the GCF of 66120 and 66140?

We will first find the prime factorization of 66120 and 66140. After we will calculate the factors of 66120 and 66140 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66140

Prime factors of 66140 are 2, 5, 3307. Prime factorization of 66140 in exponential form is:

66140 = 2² × 5¹ × 3307¹

Step-3: Factors of 66120

List of positive integer factors of 66120 that divides 66120 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

Step-4: Factors of 66140

List of positive integer factors of 66140 that divides 66120 without a remainder.

1, 2, 4, 5, 10, 20, 3307, 6614, 13228, 16535, 33070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66120 and 66140. The biggest common factor number is the GCF number.
So the greatest common factor 66120 and 66140 is 20.

Also check out the Least Common Multiple of 66120 and 66140