What is the Greatest Common Factor of 81952 and 81965?

Greatest common factor (GCF) of 81952 and 81965 is 13.

GCF(81952,81965) = 13

We will now calculate the prime factors of 81952 and 81965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81952 and 81965.

How to find the GCF of 81952 and 81965?

We will first find the prime factorization of 81952 and 81965. After we will calculate the factors of 81952 and 81965 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81965

Prime factors of 81965 are 5, 13, 97. Prime factorization of 81965 in exponential form is:

81965 = 5¹ × 13² × 97¹

Step-3: Factors of 81952

List of positive integer factors of 81952 that divides 81952 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

Step-4: Factors of 81965

List of positive integer factors of 81965 that divides 81952 without a remainder.

1, 5, 13, 65, 97, 169, 485, 845, 1261, 6305, 16393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81952 and 81965. The biggest common factor number is the GCF number.
So the greatest common factor 81952 and 81965 is 13.

Also check out the Least Common Multiple of 81952 and 81965