What is the Greatest Common Factor of 80940 and 80945?

Greatest common factor (GCF) of 80940 and 80945 is 5.

GCF(80940,80945) = 5

We will now calculate the prime factors of 80940 and 80945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80940 and 80945.

How to find the GCF of 80940 and 80945?

We will first find the prime factorization of 80940 and 80945. After we will calculate the factors of 80940 and 80945 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80945

Prime factors of 80945 are 5, 16189. Prime factorization of 80945 in exponential form is:

80945 = 5¹ × 16189¹

Step-3: Factors of 80940

List of positive integer factors of 80940 that divides 80940 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

Step-4: Factors of 80945

List of positive integer factors of 80945 that divides 80940 without a remainder.

1, 5, 16189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80940 and 80945. The biggest common factor number is the GCF number.
So the greatest common factor 80940 and 80945 is 5.

Also check out the Least Common Multiple of 80940 and 80945