What is the Greatest Common Factor of 85506 and 85521?

Greatest common factor (GCF) of 85506 and 85521 is 3.

GCF(85506,85521) = 3

We will now calculate the prime factors of 85506 and 85521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85506 and 85521.

How to find the GCF of 85506 and 85521?

We will first find the prime factorization of 85506 and 85521. After we will calculate the factors of 85506 and 85521 and find the biggest common factor number .

Step-1: Prime Factorization of 85506

Prime factors of 85506 are 2, 3, 14251. Prime factorization of 85506 in exponential form is:

85506 = 2¹ × 3¹ × 14251¹

Step-2: Prime Factorization of 85521

Prime factors of 85521 are 3, 29, 983. Prime factorization of 85521 in exponential form is:

85521 = 3¹ × 29¹ × 983¹

Step-3: Factors of 85506

List of positive integer factors of 85506 that divides 85506 without a remainder.

1, 2, 3, 6, 14251, 28502, 42753

Step-4: Factors of 85521

List of positive integer factors of 85521 that divides 85506 without a remainder.

1, 3, 29, 87, 983, 2949, 28507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85506 and 85521. The biggest common factor number is the GCF number.
So the greatest common factor 85506 and 85521 is 3.

Also check out the Least Common Multiple of 85506 and 85521