What is the Greatest Common Factor of 80275 and 80288?

Greatest common factor (GCF) of 80275 and 80288 is 13.

GCF(80275,80288) = 13

We will now calculate the prime factors of 80275 and 80288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80275 and 80288.

How to find the GCF of 80275 and 80288?

We will first find the prime factorization of 80275 and 80288. After we will calculate the factors of 80275 and 80288 and find the biggest common factor number .

Step-1: Prime Factorization of 80275

Prime factors of 80275 are 5, 13, 19. Prime factorization of 80275 in exponential form is:

80275 = 5² × 13² × 19¹

Step-2: Prime Factorization of 80288

Prime factors of 80288 are 2, 13, 193. Prime factorization of 80288 in exponential form is:

80288 = 2⁵ × 13¹ × 193¹

Step-3: Factors of 80275

List of positive integer factors of 80275 that divides 80275 without a remainder.

1, 5, 13, 19, 25, 65, 95, 169, 247, 325, 475, 845, 1235, 3211, 4225, 6175, 16055

Step-4: Factors of 80288

List of positive integer factors of 80288 that divides 80275 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 193, 208, 386, 416, 772, 1544, 2509, 3088, 5018, 6176, 10036, 20072, 40144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80275 and 80288. The biggest common factor number is the GCF number.
So the greatest common factor 80275 and 80288 is 13.

Also check out the Least Common Multiple of 80275 and 80288