What is the Greatest Common Factor of 66120 and 66125?

Greatest common factor (GCF) of 66120 and 66125 is 5.

GCF(66120,66125) = 5

We will now calculate the prime factors of 66120 and 66125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66120 and 66125.

How to find the GCF of 66120 and 66125?

We will first find the prime factorization of 66120 and 66125. After we will calculate the factors of 66120 and 66125 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 66125

Prime factors of 66125 are 5, 23. Prime factorization of 66125 in exponential form is:

66125 = 5³ × 23²

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 66125

List of positive integer factors of 66125 that divides 66120 without a remainder.

1, 5, 23, 25, 115, 125, 529, 575, 2645, 2875, 13225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66120 and 66125. The biggest common factor number is the GCF number.
So the greatest common factor 66120 and 66125 is 5.

Also check out the Least Common Multiple of 66120 and 66125