What is the Greatest Common Factor of 85904 and 85911?

Greatest common factor (GCF) of 85904 and 85911 is 7.

GCF(85904,85911) = 7

We will now calculate the prime factors of 85904 and 85911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85904 and 85911.

How to find the GCF of 85904 and 85911?

We will first find the prime factorization of 85904 and 85911. After we will calculate the factors of 85904 and 85911 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 85911

Prime factors of 85911 are 3, 7, 4091. Prime factorization of 85911 in exponential form is:

85911 = 3¹ × 7¹ × 4091¹

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 85911

List of positive integer factors of 85911 that divides 85904 without a remainder.

1, 3, 7, 21, 4091, 12273, 28637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85904 and 85911. The biggest common factor number is the GCF number.
So the greatest common factor 85904 and 85911 is 7.

Also check out the Least Common Multiple of 85904 and 85911