What is the Greatest Common Factor of 38796 and 38813?

Greatest common factor (GCF) of 38796 and 38813 is 1.

GCF(38796,38813) = 1

We will now calculate the prime factors of 38796 and 38813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38796 and 38813.

How to find the GCF of 38796 and 38813?

We will first find the prime factorization of 38796 and 38813. After we will calculate the factors of 38796 and 38813 and find the biggest common factor number .

Step-1: Prime Factorization of 38796

Prime factors of 38796 are 2, 3, 53, 61. Prime factorization of 38796 in exponential form is:

38796 = 2² × 3¹ × 53¹ × 61¹

Step-2: Prime Factorization of 38813

Prime factors of 38813 are 37, 1049. Prime factorization of 38813 in exponential form is:

38813 = 37¹ × 1049¹

Step-3: Factors of 38796

List of positive integer factors of 38796 that divides 38796 without a remainder.

1, 2, 3, 4, 6, 12, 53, 61, 106, 122, 159, 183, 212, 244, 318, 366, 636, 732, 3233, 6466, 9699, 12932, 19398

Step-4: Factors of 38813

List of positive integer factors of 38813 that divides 38796 without a remainder.

1, 37, 1049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38796 and 38813. The biggest common factor number is the GCF number.
So the greatest common factor 38796 and 38813 is 1.

Also check out the Least Common Multiple of 38796 and 38813