What is the Greatest Common Factor of 80935 and 80940?

Greatest common factor (GCF) of 80935 and 80940 is 5.

GCF(80935,80940) = 5

We will now calculate the prime factors of 80935 and 80940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80935 and 80940.

How to find the GCF of 80935 and 80940?

We will first find the prime factorization of 80935 and 80940. After we will calculate the factors of 80935 and 80940 and find the biggest common factor number .

Step-1: Prime Factorization of 80935

Prime factors of 80935 are 5, 16187. Prime factorization of 80935 in exponential form is:

80935 = 5¹ × 16187¹

Step-2: Prime Factorization of 80940

Prime factors of 80940 are 2, 3, 5, 19, 71. Prime factorization of 80940 in exponential form is:

80940 = 2² × 3¹ × 5¹ × 19¹ × 71¹

Step-3: Factors of 80935

List of positive integer factors of 80935 that divides 80935 without a remainder.

1, 5, 16187

Step-4: Factors of 80940

List of positive integer factors of 80940 that divides 80935 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 71, 76, 95, 114, 142, 190, 213, 228, 284, 285, 355, 380, 426, 570, 710, 852, 1065, 1140, 1349, 1420, 2130, 2698, 4047, 4260, 5396, 6745, 8094, 13490, 16188, 20235, 26980, 40470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80935 and 80940. The biggest common factor number is the GCF number.
So the greatest common factor 80935 and 80940 is 5.

Also check out the Least Common Multiple of 80935 and 80940