What is the Greatest Common Factor of 81930 and 81945?

Greatest common factor (GCF) of 81930 and 81945 is 15.

GCF(81930,81945) = 15

We will now calculate the prime factors of 81930 and 81945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81930 and 81945.

How to find the GCF of 81930 and 81945?

We will first find the prime factorization of 81930 and 81945. After we will calculate the factors of 81930 and 81945 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 81945

Prime factors of 81945 are 3, 5, 607. Prime factorization of 81945 in exponential form is:

81945 = 3³ × 5¹ × 607¹

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 81945

List of positive integer factors of 81945 that divides 81930 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 607, 1821, 3035, 5463, 9105, 16389, 27315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81930 and 81945. The biggest common factor number is the GCF number.
So the greatest common factor 81930 and 81945 is 15.

Also check out the Least Common Multiple of 81930 and 81945