What is the Greatest Common Factor of 51660 and 51670?

Greatest common factor (GCF) of 51660 and 51670 is 10.

GCF(51660,51670) = 10

We will now calculate the prime factors of 51660 and 51670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51660 and 51670.

How to find the GCF of 51660 and 51670?

We will first find the prime factorization of 51660 and 51670. After we will calculate the factors of 51660 and 51670 and find the biggest common factor number .

Step-1: Prime Factorization of 51660

Prime factors of 51660 are 2, 3, 5, 7, 41. Prime factorization of 51660 in exponential form is:

51660 = 2² × 3² × 5¹ × 7¹ × 41¹

Step-2: Prime Factorization of 51670

Prime factors of 51670 are 2, 5, 5167. Prime factorization of 51670 in exponential form is:

51670 = 2¹ × 5¹ × 5167¹

Step-3: Factors of 51660

List of positive integer factors of 51660 that divides 51660 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 41, 42, 45, 60, 63, 70, 82, 84, 90, 105, 123, 126, 140, 164, 180, 205, 210, 246, 252, 287, 315, 369, 410, 420, 492, 574, 615, 630, 738, 820, 861, 1148, 1230, 1260, 1435, 1476, 1722, 1845, 2460, 2583, 2870, 3444, 3690, 4305, 5166, 5740, 7380, 8610, 10332, 12915, 17220, 25830

Step-4: Factors of 51670

List of positive integer factors of 51670 that divides 51660 without a remainder.

1, 2, 5, 10, 5167, 10334, 25835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51660 and 51670. The biggest common factor number is the GCF number.
So the greatest common factor 51660 and 51670 is 10.

Also check out the Least Common Multiple of 51660 and 51670