What is the Greatest Common Factor of 85185 and 85195?

Greatest common factor (GCF) of 85185 and 85195 is 5.

GCF(85185,85195) = 5

We will now calculate the prime factors of 85185 and 85195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85185 and 85195.

How to find the GCF of 85185 and 85195?

We will first find the prime factorization of 85185 and 85195. After we will calculate the factors of 85185 and 85195 and find the biggest common factor number .

Step-1: Prime Factorization of 85185

Prime factors of 85185 are 3, 5, 631. Prime factorization of 85185 in exponential form is:

85185 = 3³ × 5¹ × 631¹

Step-2: Prime Factorization of 85195

Prime factors of 85195 are 5, 11, 1549. Prime factorization of 85195 in exponential form is:

85195 = 5¹ × 11¹ × 1549¹

Step-3: Factors of 85185

List of positive integer factors of 85185 that divides 85185 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 631, 1893, 3155, 5679, 9465, 17037, 28395

Step-4: Factors of 85195

List of positive integer factors of 85195 that divides 85185 without a remainder.

1, 5, 11, 55, 1549, 7745, 17039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85185 and 85195. The biggest common factor number is the GCF number.
So the greatest common factor 85185 and 85195 is 5.

Also check out the Least Common Multiple of 85185 and 85195