What is the Greatest Common Factor of 85144 and 85150?

Greatest common factor (GCF) of 85144 and 85150 is 2.

GCF(85144,85150) = 2

We will now calculate the prime factors of 85144 and 85150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85144 and 85150.

How to find the GCF of 85144 and 85150?

We will first find the prime factorization of 85144 and 85150. After we will calculate the factors of 85144 and 85150 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 85150

Prime factors of 85150 are 2, 5, 13, 131. Prime factorization of 85150 in exponential form is:

85150 = 2¹ × 5² × 13¹ × 131¹

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 85150

List of positive integer factors of 85150 that divides 85144 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 131, 262, 325, 650, 655, 1310, 1703, 3275, 3406, 6550, 8515, 17030, 42575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85144 and 85150. The biggest common factor number is the GCF number.
So the greatest common factor 85144 and 85150 is 2.

Also check out the Least Common Multiple of 85144 and 85150