What is the Greatest Common Factor of 39814 and 39821?

Greatest common factor (GCF) of 39814 and 39821 is 1.

GCF(39814,39821) = 1

We will now calculate the prime factors of 39814 and 39821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39814 and 39821.

How to find the GCF of 39814 and 39821?

We will first find the prime factorization of 39814 and 39821. After we will calculate the factors of 39814 and 39821 and find the biggest common factor number .

Step-1: Prime Factorization of 39814

Prime factors of 39814 are 2, 17, 1171. Prime factorization of 39814 in exponential form is:

39814 = 2¹ × 17¹ × 1171¹

Step-2: Prime Factorization of 39821

Prime factors of 39821 are 39821. Prime factorization of 39821 in exponential form is:

39821 = 39821¹

Step-3: Factors of 39814

List of positive integer factors of 39814 that divides 39814 without a remainder.

1, 2, 17, 34, 1171, 2342, 19907

Step-4: Factors of 39821

List of positive integer factors of 39821 that divides 39814 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39814 and 39821. The biggest common factor number is the GCF number.
So the greatest common factor 39814 and 39821 is 1.

Also check out the Least Common Multiple of 39814 and 39821