What is the Greatest Common Factor of 39330 and 39340?

Greatest common factor (GCF) of 39330 and 39340 is 10.

GCF(39330,39340) = 10

We will now calculate the prime factors of 39330 and 39340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39330 and 39340.

How to find the GCF of 39330 and 39340?

We will first find the prime factorization of 39330 and 39340. After we will calculate the factors of 39330 and 39340 and find the biggest common factor number .

Step-1: Prime Factorization of 39330

Prime factors of 39330 are 2, 3, 5, 19, 23. Prime factorization of 39330 in exponential form is:

39330 = 2¹ × 3² × 5¹ × 19¹ × 23¹

Step-2: Prime Factorization of 39340

Prime factors of 39340 are 2, 5, 7, 281. Prime factorization of 39340 in exponential form is:

39340 = 2² × 5¹ × 7¹ × 281¹

Step-3: Factors of 39330

List of positive integer factors of 39330 that divides 39330 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 23, 30, 38, 45, 46, 57, 69, 90, 95, 114, 115, 138, 171, 190, 207, 230, 285, 342, 345, 414, 437, 570, 690, 855, 874, 1035, 1311, 1710, 2070, 2185, 2622, 3933, 4370, 6555, 7866, 13110, 19665

Step-4: Factors of 39340

List of positive integer factors of 39340 that divides 39330 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 281, 562, 1124, 1405, 1967, 2810, 3934, 5620, 7868, 9835, 19670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39330 and 39340. The biggest common factor number is the GCF number.
So the greatest common factor 39330 and 39340 is 10.

Also check out the Least Common Multiple of 39330 and 39340