What is the Greatest Common Factor of 85154 and 85172?

Greatest common factor (GCF) of 85154 and 85172 is 2.

GCF(85154,85172) = 2

We will now calculate the prime factors of 85154 and 85172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85154 and 85172.

How to find the GCF of 85154 and 85172?

We will first find the prime factorization of 85154 and 85172. After we will calculate the factors of 85154 and 85172 and find the biggest common factor number .

Step-1: Prime Factorization of 85154

Prime factors of 85154 are 2, 42577. Prime factorization of 85154 in exponential form is:

85154 = 2¹ × 42577¹

Step-2: Prime Factorization of 85172

Prime factors of 85172 are 2, 107, 199. Prime factorization of 85172 in exponential form is:

85172 = 2² × 107¹ × 199¹

Step-3: Factors of 85154

List of positive integer factors of 85154 that divides 85154 without a remainder.

1, 2, 42577

Step-4: Factors of 85172

List of positive integer factors of 85172 that divides 85154 without a remainder.

1, 2, 4, 107, 199, 214, 398, 428, 796, 21293, 42586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85154 and 85172. The biggest common factor number is the GCF number.
So the greatest common factor 85154 and 85172 is 2.

Also check out the Least Common Multiple of 85154 and 85172