What is the Greatest Common Factor of 85184 and 85204?

Greatest common factor (GCF) of 85184 and 85204 is 4.

GCF(85184,85204) = 4

We will now calculate the prime factors of 85184 and 85204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85184 and 85204.

How to find the GCF of 85184 and 85204?

We will first find the prime factorization of 85184 and 85204. After we will calculate the factors of 85184 and 85204 and find the biggest common factor number .

Step-1: Prime Factorization of 85184

Prime factors of 85184 are 2, 11. Prime factorization of 85184 in exponential form is:

85184 = 2⁶ × 11³

Step-2: Prime Factorization of 85204

Prime factors of 85204 are 2, 7, 17, 179. Prime factorization of 85204 in exponential form is:

85204 = 2² × 7¹ × 17¹ × 179¹

Step-3: Factors of 85184

List of positive integer factors of 85184 that divides 85184 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 121, 176, 242, 352, 484, 704, 968, 1331, 1936, 2662, 3872, 5324, 7744, 10648, 21296, 42592

Step-4: Factors of 85204

List of positive integer factors of 85204 that divides 85184 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 179, 238, 358, 476, 716, 1253, 2506, 3043, 5012, 6086, 12172, 21301, 42602

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85184 and 85204. The biggest common factor number is the GCF number.
So the greatest common factor 85184 and 85204 is 4.

Also check out the Least Common Multiple of 85184 and 85204