What is the Greatest Common Factor of 38961 and 38973?

Greatest common factor (GCF) of 38961 and 38973 is 3.

GCF(38961,38973) = 3

We will now calculate the prime factors of 38961 and 38973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38961 and 38973.

How to find the GCF of 38961 and 38973?

We will first find the prime factorization of 38961 and 38973. After we will calculate the factors of 38961 and 38973 and find the biggest common factor number .

Step-1: Prime Factorization of 38961

Prime factors of 38961 are 3, 13, 37. Prime factorization of 38961 in exponential form is:

38961 = 3⁴ × 13¹ × 37¹

Step-2: Prime Factorization of 38973

Prime factors of 38973 are 3, 11, 1181. Prime factorization of 38973 in exponential form is:

38973 = 3¹ × 11¹ × 1181¹

Step-3: Factors of 38961

List of positive integer factors of 38961 that divides 38961 without a remainder.

1, 3, 9, 13, 27, 37, 39, 81, 111, 117, 333, 351, 481, 999, 1053, 1443, 2997, 4329, 12987

Step-4: Factors of 38973

List of positive integer factors of 38973 that divides 38961 without a remainder.

1, 3, 11, 33, 1181, 3543, 12991

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38961 and 38973. The biggest common factor number is the GCF number.
So the greatest common factor 38961 and 38973 is 3.

Also check out the Least Common Multiple of 38961 and 38973