What is the Greatest Common Factor of 85136 and 85153?

Greatest common factor (GCF) of 85136 and 85153 is 17.

GCF(85136,85153) = 17

We will now calculate the prime factors of 85136 and 85153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85136 and 85153.

How to find the GCF of 85136 and 85153?

We will first find the prime factorization of 85136 and 85153. After we will calculate the factors of 85136 and 85153 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 85153

Prime factors of 85153 are 17, 5009. Prime factorization of 85153 in exponential form is:

85153 = 17¹ × 5009¹

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 85153

List of positive integer factors of 85153 that divides 85136 without a remainder.

1, 17, 5009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85136 and 85153. The biggest common factor number is the GCF number.
So the greatest common factor 85136 and 85153 is 17.

Also check out the Least Common Multiple of 85136 and 85153