What is the Greatest Common Factor of 80288 and 80300?

Greatest common factor (GCF) of 80288 and 80300 is 4.

GCF(80288,80300) = 4

We will now calculate the prime factors of 80288 and 80300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80288 and 80300.

How to find the GCF of 80288 and 80300?

We will first find the prime factorization of 80288 and 80300. After we will calculate the factors of 80288 and 80300 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80300

Prime factors of 80300 are 2, 5, 11, 73. Prime factorization of 80300 in exponential form is:

80300 = 2² × 5² × 11¹ × 73¹

Step-3: Factors of 80288

List of positive integer factors of 80288 that divides 80288 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

Step-4: Factors of 80300

List of positive integer factors of 80300 that divides 80288 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 73, 100, 110, 146, 220, 275, 292, 365, 550, 730, 803, 1100, 1460, 1606, 1825, 3212, 3650, 4015, 7300, 8030, 16060, 20075, 40150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80288 and 80300. The biggest common factor number is the GCF number.
So the greatest common factor 80288 and 80300 is 4.

Also check out the Least Common Multiple of 80288 and 80300