What is the Greatest Common Factor of 81946 and 81952?

Greatest common factor (GCF) of 81946 and 81952 is 2.

GCF(81946,81952) = 2

We will now calculate the prime factors of 81946 and 81952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81946 and 81952.

How to find the GCF of 81946 and 81952?

We will first find the prime factorization of 81946 and 81952. After we will calculate the factors of 81946 and 81952 and find the biggest common factor number .

Step-1: Prime Factorization of 81946

Prime factors of 81946 are 2, 40973. Prime factorization of 81946 in exponential form is:

81946 = 2¹ × 40973¹

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 81946

List of positive integer factors of 81946 that divides 81946 without a remainder.

1, 2, 40973

Step-4: Factors of 81952

List of positive integer factors of 81952 that divides 81946 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 81946 and 81952. The biggest common factor number is the GCF number.
So the greatest common factor 81946 and 81952 is 2.

Also check out the Least Common Multiple of 81946 and 81952