What is the Greatest Common Factor of 85136 and 85155?

Greatest common factor (GCF) of 85136 and 85155 is 1.

GCF(85136,85155) = 1

We will now calculate the prime factors of 85136 and 85155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85136 and 85155.

How to find the GCF of 85136 and 85155?

We will first find the prime factorization of 85136 and 85155. After we will calculate the factors of 85136 and 85155 and find the biggest common factor number .

Step-1: Prime Factorization of 85136

Prime factors of 85136 are 2, 17, 313. Prime factorization of 85136 in exponential form is:

85136 = 2⁴ × 17¹ × 313¹

Step-2: Prime Factorization of 85155

Prime factors of 85155 are 3, 5, 7, 811. Prime factorization of 85155 in exponential form is:

85155 = 3¹ × 5¹ × 7¹ × 811¹

Step-3: Factors of 85136

List of positive integer factors of 85136 that divides 85136 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 313, 626, 1252, 2504, 5008, 5321, 10642, 21284, 42568

Step-4: Factors of 85155

List of positive integer factors of 85155 that divides 85136 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 811, 2433, 4055, 5677, 12165, 17031, 28385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85136 and 85155. The biggest common factor number is the GCF number.
So the greatest common factor 85136 and 85155 is 1.

Also check out the Least Common Multiple of 85136 and 85155