What is the Greatest Common Factor of 81934 and 81950?

Greatest common factor (GCF) of 81934 and 81950 is 2.

GCF(81934,81950) = 2

We will now calculate the prime factors of 81934 and 81950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81934 and 81950.

How to find the GCF of 81934 and 81950?

We will first find the prime factorization of 81934 and 81950. After we will calculate the factors of 81934 and 81950 and find the biggest common factor number .

Step-1: Prime Factorization of 81934

Prime factors of 81934 are 2, 71, 577. Prime factorization of 81934 in exponential form is:

81934 = 2¹ × 71¹ × 577¹

Step-2: Prime Factorization of 81950

Prime factors of 81950 are 2, 5, 11, 149. Prime factorization of 81950 in exponential form is:

81950 = 2¹ × 5² × 11¹ × 149¹

Step-3: Factors of 81934

List of positive integer factors of 81934 that divides 81934 without a remainder.

1, 2, 71, 142, 577, 1154, 40967

Step-4: Factors of 81950

List of positive integer factors of 81950 that divides 81934 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 149, 275, 298, 550, 745, 1490, 1639, 3278, 3725, 7450, 8195, 16390, 40975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81934 and 81950. The biggest common factor number is the GCF number.
So the greatest common factor 81934 and 81950 is 2.

Also check out the Least Common Multiple of 81934 and 81950