What is the Greatest Common Factor of 85683 and 85695?

Greatest common factor (GCF) of 85683 and 85695 is 3.

GCF(85683,85695) = 3

We will now calculate the prime factors of 85683 and 85695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85683 and 85695.

How to find the GCF of 85683 and 85695?

We will first find the prime factorization of 85683 and 85695. After we will calculate the factors of 85683 and 85695 and find the biggest common factor number .

Step-1: Prime Factorization of 85683

Prime factors of 85683 are 3, 13. Prime factorization of 85683 in exponential form is:

85683 = 3¹ × 13⁴

Step-2: Prime Factorization of 85695

Prime factors of 85695 are 3, 5, 29, 197. Prime factorization of 85695 in exponential form is:

85695 = 3¹ × 5¹ × 29¹ × 197¹

Step-3: Factors of 85683

List of positive integer factors of 85683 that divides 85683 without a remainder.

1, 3, 13, 39, 169, 507, 2197, 6591, 28561

Step-4: Factors of 85695

List of positive integer factors of 85695 that divides 85683 without a remainder.

1, 3, 5, 15, 29, 87, 145, 197, 435, 591, 985, 2955, 5713, 17139, 28565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85683 and 85695. The biggest common factor number is the GCF number.
So the greatest common factor 85683 and 85695 is 3.

Also check out the Least Common Multiple of 85683 and 85695