What is the Greatest Common Factor of 81930 and 81946?

Greatest common factor (GCF) of 81930 and 81946 is 2.

GCF(81930,81946) = 2

We will now calculate the prime factors of 81930 and 81946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81930 and 81946.

How to find the GCF of 81930 and 81946?

We will first find the prime factorization of 81930 and 81946. After we will calculate the factors of 81930 and 81946 and find the biggest common factor number .

Step-1: Prime Factorization of 81930

Prime factors of 81930 are 2, 3, 5, 2731. Prime factorization of 81930 in exponential form is:

81930 = 2¹ × 3¹ × 5¹ × 2731¹

Step-2: Prime Factorization of 81946

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

81946 = 2¹ × 40973¹

Step-3: Factors of 81930

List of positive integer factors of 81930 that divides 81930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2731, 5462, 8193, 13655, 16386, 27310, 40965

Step-4: Factors of 81946

List of positive integer factors of 81946 that divides 81930 without a remainder.

1, 2, 40973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81930 and 81946. The biggest common factor number is the GCF number.
So the greatest common factor 81930 and 81946 is 2.

Also check out the Least Common Multiple of 81930 and 81946