What is the Greatest Common Factor of 68805 and 68816?

Greatest common factor (GCF) of 68805 and 68816 is 11.

GCF(68805,68816) = 11

We will now calculate the prime factors of 68805 and 68816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68805 and 68816.

How to find the GCF of 68805 and 68816?

We will first find the prime factorization of 68805 and 68816. After we will calculate the factors of 68805 and 68816 and find the biggest common factor number .

Step-1: Prime Factorization of 68805

Prime factors of 68805 are 3, 5, 11, 139. Prime factorization of 68805 in exponential form is:

68805 = 3² × 5¹ × 11¹ × 139¹

Step-2: Prime Factorization of 68816

Prime factors of 68816 are 2, 11, 17, 23. Prime factorization of 68816 in exponential form is:

68816 = 2⁴ × 11¹ × 17¹ × 23¹

Step-3: Factors of 68805

List of positive integer factors of 68805 that divides 68805 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 139, 165, 417, 495, 695, 1251, 1529, 2085, 4587, 6255, 7645, 13761, 22935

Step-4: Factors of 68816

List of positive integer factors of 68816 that divides 68805 without a remainder.

1, 2, 4, 8, 11, 16, 17, 22, 23, 34, 44, 46, 68, 88, 92, 136, 176, 184, 187, 253, 272, 368, 374, 391, 506, 748, 782, 1012, 1496, 1564, 2024, 2992, 3128, 4048, 4301, 6256, 8602, 17204, 34408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68805 and 68816. The biggest common factor number is the GCF number.
So the greatest common factor 68805 and 68816 is 11.

Also check out the Least Common Multiple of 68805 and 68816