What is the Greatest Common Factor of 39830 and 39835?

Greatest common factor (GCF) of 39830 and 39835 is 5.

GCF(39830,39835) = 5

We will now calculate the prime factors of 39830 and 39835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39830 and 39835.

How to find the GCF of 39830 and 39835?

We will first find the prime factorization of 39830 and 39835. After we will calculate the factors of 39830 and 39835 and find the biggest common factor number .

Step-1: Prime Factorization of 39830

Prime factors of 39830 are 2, 5, 7, 569. Prime factorization of 39830 in exponential form is:

39830 = 2¹ × 5¹ × 7¹ × 569¹

Step-2: Prime Factorization of 39835

Prime factors of 39835 are 5, 31, 257. Prime factorization of 39835 in exponential form is:

39835 = 5¹ × 31¹ × 257¹

Step-3: Factors of 39830

List of positive integer factors of 39830 that divides 39830 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 569, 1138, 2845, 3983, 5690, 7966, 19915

Step-4: Factors of 39835

List of positive integer factors of 39835 that divides 39830 without a remainder.

1, 5, 31, 155, 257, 1285, 7967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39830 and 39835. The biggest common factor number is the GCF number.
So the greatest common factor 39830 and 39835 is 5.

Also check out the Least Common Multiple of 39830 and 39835