What is the Greatest Common Factor of 80880 and 80896?

Greatest common factor (GCF) of 80880 and 80896 is 16.

GCF(80880,80896) = 16

We will now calculate the prime factors of 80880 and 80896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80880 and 80896.

How to find the GCF of 80880 and 80896?

We will first find the prime factorization of 80880 and 80896. After we will calculate the factors of 80880 and 80896 and find the biggest common factor number .

Step-1: Prime Factorization of 80880

Prime factors of 80880 are 2, 3, 5, 337. Prime factorization of 80880 in exponential form is:

80880 = 2⁴ × 3¹ × 5¹ × 337¹

Step-2: Prime Factorization of 80896

Prime factors of 80896 are 2, 79. Prime factorization of 80896 in exponential form is:

80896 = 2¹⁰ × 79¹

Step-3: Factors of 80880

List of positive integer factors of 80880 that divides 80880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 337, 674, 1011, 1348, 1685, 2022, 2696, 3370, 4044, 5055, 5392, 6740, 8088, 10110, 13480, 16176, 20220, 26960, 40440

Step-4: Factors of 80896

List of positive integer factors of 80896 that divides 80880 without a remainder.

1, 2, 4, 8, 16, 32, 64, 79, 128, 158, 256, 316, 512, 632, 1024, 1264, 2528, 5056, 10112, 20224, 40448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80880 and 80896. The biggest common factor number is the GCF number.
So the greatest common factor 80880 and 80896 is 16.

Also check out the Least Common Multiple of 80880 and 80896