What is the Greatest Common Factor of 85144 and 85164?

Greatest common factor (GCF) of 85144 and 85164 is 4.

GCF(85144,85164) = 4

We will now calculate the prime factors of 85144 and 85164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85144 and 85164.

How to find the GCF of 85144 and 85164?

We will first find the prime factorization of 85144 and 85164. After we will calculate the factors of 85144 and 85164 and find the biggest common factor number .

Step-1: Prime Factorization of 85144

Prime factors of 85144 are 2, 29, 367. Prime factorization of 85144 in exponential form is:

85144 = 2³ × 29¹ × 367¹

Step-2: 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-3: Factors of 85144

List of positive integer factors of 85144 that divides 85144 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232, 367, 734, 1468, 2936, 10643, 21286, 42572

Step-4: Factors of 85164

List of positive integer factors of 85164 that divides 85144 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85144 and 85164. The biggest common factor number is the GCF number.
So the greatest common factor 85144 and 85164 is 4.

Also check out the Least Common Multiple of 85144 and 85164