What is the Greatest Common Factor of 85884 and 85904?

Greatest common factor (GCF) of 85884 and 85904 is 4.

GCF(85884,85904) = 4

We will now calculate the prime factors of 85884 and 85904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85884 and 85904.

How to find the GCF of 85884 and 85904?

We will first find the prime factorization of 85884 and 85904. After we will calculate the factors of 85884 and 85904 and find the biggest common factor number .

Step-1: Prime Factorization of 85884

Prime factors of 85884 are 2, 3, 17, 421. Prime factorization of 85884 in exponential form is:

85884 = 2² × 3¹ × 17¹ × 421¹

Step-2: 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-3: Factors of 85884

List of positive integer factors of 85884 that divides 85884 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 421, 842, 1263, 1684, 2526, 5052, 7157, 14314, 21471, 28628, 42942

Step-4: Factors of 85904

List of positive integer factors of 85904 that divides 85884 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85884 and 85904. The biggest common factor number is the GCF number.
So the greatest common factor 85884 and 85904 is 4.

Also check out the Least Common Multiple of 85884 and 85904