What is the Greatest Common Factor of 39826 and 39830?

Greatest common factor (GCF) of 39826 and 39830 is 2.

GCF(39826,39830) = 2

We will now calculate the prime factors of 39826 and 39830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39826 and 39830.

How to find the GCF of 39826 and 39830?

We will first find the prime factorization of 39826 and 39830. After we will calculate the factors of 39826 and 39830 and find the biggest common factor number .

Step-1: Prime Factorization of 39826

Prime factors of 39826 are 2, 19913. Prime factorization of 39826 in exponential form is:

39826 = 2¹ × 19913¹

Step-2: 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-3: Factors of 39826

List of positive integer factors of 39826 that divides 39826 without a remainder.

1, 2, 19913

Step-4: Factors of 39830

List of positive integer factors of 39830 that divides 39826 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39826 and 39830. The biggest common factor number is the GCF number.
So the greatest common factor 39826 and 39830 is 2.

Also check out the Least Common Multiple of 39826 and 39830