What is the Greatest Common Factor of 85164 and 85184?

Greatest common factor (GCF) of 85164 and 85184 is 4.

GCF(85164,85184) = 4

We will now calculate the prime factors of 85164 and 85184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85164 and 85184.

How to find the GCF of 85164 and 85184?

We will first find the prime factorization of 85164 and 85184. After we will calculate the factors of 85164 and 85184 and find the biggest common factor number .

Step-1: Prime Factorization of 85164

Prime factors of 85164 are 2, 3, 47, 151. Prime factorization of 85164 in exponential form is:

85164 = 2² × 3¹ × 47¹ × 151¹

Step-2: Prime Factorization of 85184

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

85184 = 2⁶ × 11³

Step-3: Factors of 85164

List of positive integer factors of 85164 that divides 85164 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 151, 188, 282, 302, 453, 564, 604, 906, 1812, 7097, 14194, 21291, 28388, 42582

Step-4: Factors of 85184

List of positive integer factors of 85184 that divides 85164 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85164 and 85184. The biggest common factor number is the GCF number.
So the greatest common factor 85164 and 85184 is 4.

Also check out the Least Common Multiple of 85164 and 85184