What is the Greatest Common Factor of 39837 and 39851?

Greatest common factor (GCF) of 39837 and 39851 is 7.

GCF(39837,39851) = 7

We will now calculate the prime factors of 39837 and 39851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39837 and 39851.

How to find the GCF of 39837 and 39851?

We will first find the prime factorization of 39837 and 39851. After we will calculate the factors of 39837 and 39851 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39851

Prime factors of 39851 are 7, 5693. Prime factorization of 39851 in exponential form is:

39851 = 7¹ × 5693¹

Step-3: Factors of 39837

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

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

Step-4: Factors of 39851

List of positive integer factors of 39851 that divides 39837 without a remainder.

1, 7, 5693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39837 and 39851. The biggest common factor number is the GCF number.
So the greatest common factor 39837 and 39851 is 7.

Also check out the Least Common Multiple of 39837 and 39851