What is the Greatest Common Factor of 85904 and 85912?

Greatest common factor (GCF) of 85904 and 85912 is 8.

GCF(85904,85912) = 8

We will now calculate the prime factors of 85904 and 85912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85904 and 85912.

How to find the GCF of 85904 and 85912?

We will first find the prime factorization of 85904 and 85912. After we will calculate the factors of 85904 and 85912 and find the biggest common factor number .

Step-1: Prime Factorization of 85904

Prime factors of 85904 are 2, 7, 13, 59. Prime factorization of 85904 in exponential form is:

85904 = 2⁴ × 7¹ × 13¹ × 59¹

Step-2: Prime Factorization of 85912

Prime factors of 85912 are 2, 10739. Prime factorization of 85912 in exponential form is:

85912 = 2³ × 10739¹

Step-3: Factors of 85904

List of positive integer factors of 85904 that divides 85904 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 59, 91, 104, 112, 118, 182, 208, 236, 364, 413, 472, 728, 767, 826, 944, 1456, 1534, 1652, 3068, 3304, 5369, 6136, 6608, 10738, 12272, 21476, 42952

Step-4: Factors of 85912

List of positive integer factors of 85912 that divides 85904 without a remainder.

1, 2, 4, 8, 10739, 21478, 42956

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85904 and 85912. The biggest common factor number is the GCF number.
So the greatest common factor 85904 and 85912 is 8.

Also check out the Least Common Multiple of 85904 and 85912