What is the Greatest Common Factor of 85162 and 85168?

Greatest common factor (GCF) of 85162 and 85168 is 2.

GCF(85162,85168) = 2

We will now calculate the prime factors of 85162 and 85168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85162 and 85168.

How to find the GCF of 85162 and 85168?

We will first find the prime factorization of 85162 and 85168. After we will calculate the factors of 85162 and 85168 and find the biggest common factor number .

Step-1: Prime Factorization of 85162

Prime factors of 85162 are 2, 7, 11, 79. Prime factorization of 85162 in exponential form is:

85162 = 2¹ × 7² × 11¹ × 79¹

Step-2: Prime Factorization of 85168

Prime factors of 85168 are 2, 5323. Prime factorization of 85168 in exponential form is:

85168 = 2⁴ × 5323¹

Step-3: Factors of 85162

List of positive integer factors of 85162 that divides 85162 without a remainder.

1, 2, 7, 11, 14, 22, 49, 77, 79, 98, 154, 158, 539, 553, 869, 1078, 1106, 1738, 3871, 6083, 7742, 12166, 42581

Step-4: Factors of 85168

List of positive integer factors of 85168 that divides 85162 without a remainder.

1, 2, 4, 8, 16, 5323, 10646, 21292, 42584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85162 and 85168. The biggest common factor number is the GCF number.
So the greatest common factor 85162 and 85168 is 2.

Also check out the Least Common Multiple of 85162 and 85168