What is the Greatest Common Factor of 68816 and 68832?

Greatest common factor (GCF) of 68816 and 68832 is 16.

GCF(68816,68832) = 16

We will now calculate the prime factors of 68816 and 68832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68816 and 68832.

How to find the GCF of 68816 and 68832?

We will first find the prime factorization of 68816 and 68832. After we will calculate the factors of 68816 and 68832 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 68832

Prime factors of 68832 are 2, 3, 239. Prime factorization of 68832 in exponential form is:

68832 = 2⁵ × 3² × 239¹

Step-3: Factors of 68816

List of positive integer factors of 68816 that divides 68816 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

Step-4: Factors of 68832

List of positive integer factors of 68832 that divides 68816 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 239, 288, 478, 717, 956, 1434, 1912, 2151, 2868, 3824, 4302, 5736, 7648, 8604, 11472, 17208, 22944, 34416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68816 and 68832. The biggest common factor number is the GCF number.
So the greatest common factor 68816 and 68832 is 16.

Also check out the Least Common Multiple of 68816 and 68832