What is the Greatest Common Factor of 39823 and 39837?

Greatest common factor (GCF) of 39823 and 39837 is 7.

GCF(39823,39837) = 7

We will now calculate the prime factors of 39823 and 39837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39823 and 39837.

How to find the GCF of 39823 and 39837?

We will first find the prime factorization of 39823 and 39837. After we will calculate the factors of 39823 and 39837 and find the biggest common factor number .

Step-1: Prime Factorization of 39823

Prime factors of 39823 are 7, 5689. Prime factorization of 39823 in exponential form is:

39823 = 7¹ × 5689¹

Step-2: Prime Factorization of 39837

Prime factors of 39837 are 3, 7, 271. Prime factorization of 39837 in exponential form is:

39837 = 3¹ × 7² × 271¹

Step-3: Factors of 39823

List of positive integer factors of 39823 that divides 39823 without a remainder.

1, 7, 5689

Step-4: Factors of 39837

List of positive integer factors of 39837 that divides 39823 without a remainder.

1, 3, 7, 21, 49, 147, 271, 813, 1897, 5691, 13279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39823 and 39837. The biggest common factor number is the GCF number.
So the greatest common factor 39823 and 39837 is 7.

Also check out the Least Common Multiple of 39823 and 39837