What is the Greatest Common Factor of 66120 and 66130?

Greatest common factor (GCF) of 66120 and 66130 is 10.

GCF(66120,66130) = 10

We will now calculate the prime factors of 66120 and 66130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66120 and 66130.

How to find the GCF of 66120 and 66130?

We will first find the prime factorization of 66120 and 66130. After we will calculate the factors of 66120 and 66130 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 66130

Prime factors of 66130 are 2, 5, 17, 389. Prime factorization of 66130 in exponential form is:

66130 = 2¹ × 5¹ × 17¹ × 389¹

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 66130

List of positive integer factors of 66130 that divides 66120 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 389, 778, 1945, 3890, 6613, 13226, 33065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66120 and 66130. The biggest common factor number is the GCF number.
So the greatest common factor 66120 and 66130 is 10.

Also check out the Least Common Multiple of 66120 and 66130