What is the Greatest Common Factor of 81930 and 81950?

Greatest common factor (GCF) of 81930 and 81950 is 10.

GCF(81930,81950) = 10

We will now calculate the prime factors of 81930 and 81950, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81930 and 81950.

How to find the GCF of 81930 and 81950?

We will first find the prime factorization of 81930 and 81950. After we will calculate the factors of 81930 and 81950 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 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 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 81950

List of positive integer factors of 81950 that divides 81930 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 81930 and 81950. The biggest common factor number is the GCF number.
So the greatest common factor 81930 and 81950 is 10.

Also check out the Least Common Multiple of 81930 and 81950