What is the Greatest Common Factor of 18060 and 18070?

Greatest common factor (GCF) of 18060 and 18070 is 10.

GCF(18060,18070) = 10

We will now calculate the prime factors of 18060 and 18070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18060 and 18070.

How to find the GCF of 18060 and 18070?

We will first find the prime factorization of 18060 and 18070. After we will calculate the factors of 18060 and 18070 and find the biggest common factor number .

Step-1: Prime Factorization of 18060

Prime factors of 18060 are 2, 3, 5, 7, 43. Prime factorization of 18060 in exponential form is:

18060 = 2² × 3¹ × 5¹ × 7¹ × 43¹

Step-2: Prime Factorization of 18070

Prime factors of 18070 are 2, 5, 13, 139. Prime factorization of 18070 in exponential form is:

18070 = 2¹ × 5¹ × 13¹ × 139¹

Step-3: Factors of 18060

List of positive integer factors of 18060 that divides 18060 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 43, 60, 70, 84, 86, 105, 129, 140, 172, 210, 215, 258, 301, 420, 430, 516, 602, 645, 860, 903, 1204, 1290, 1505, 1806, 2580, 3010, 3612, 4515, 6020, 9030

Step-4: Factors of 18070

List of positive integer factors of 18070 that divides 18060 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 139, 278, 695, 1390, 1807, 3614, 9035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18060 and 18070. The biggest common factor number is the GCF number.
So the greatest common factor 18060 and 18070 is 10.

Also check out the Least Common Multiple of 18060 and 18070