What is the Greatest Common Factor of 81939 and 81952?

Greatest common factor (GCF) of 81939 and 81952 is 13.

GCF(81939,81952) = 13

We will now calculate the prime factors of 81939 and 81952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81939 and 81952.

How to find the GCF of 81939 and 81952?

We will first find the prime factorization of 81939 and 81952. After we will calculate the factors of 81939 and 81952 and find the biggest common factor number .

Step-1: Prime Factorization of 81939

Prime factors of 81939 are 3, 11, 13, 191. Prime factorization of 81939 in exponential form is:

81939 = 3¹ × 11¹ × 13¹ × 191¹

Step-2: Prime Factorization of 81952

Prime factors of 81952 are 2, 13, 197. Prime factorization of 81952 in exponential form is:

81952 = 2⁵ × 13¹ × 197¹

Step-3: Factors of 81939

List of positive integer factors of 81939 that divides 81939 without a remainder.

1, 3, 11, 13, 33, 39, 143, 191, 429, 573, 2101, 2483, 6303, 7449, 27313

Step-4: Factors of 81952

List of positive integer factors of 81952 that divides 81939 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 197, 208, 394, 416, 788, 1576, 2561, 3152, 5122, 6304, 10244, 20488, 40976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81939 and 81952. The biggest common factor number is the GCF number.
So the greatest common factor 81939 and 81952 is 13.

Also check out the Least Common Multiple of 81939 and 81952