What is the Greatest Common Factor of 85494 and 85509?

Greatest common factor (GCF) of 85494 and 85509 is 3.

GCF(85494,85509) = 3

We will now calculate the prime factors of 85494 and 85509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85494 and 85509.

How to find the GCF of 85494 and 85509?

We will first find the prime factorization of 85494 and 85509. After we will calculate the factors of 85494 and 85509 and find the biggest common factor number .

Step-1: Prime Factorization of 85494

Prime factors of 85494 are 2, 3, 14249. Prime factorization of 85494 in exponential form is:

85494 = 2¹ × 3¹ × 14249¹

Step-2: Prime Factorization of 85509

Prime factors of 85509 are 3, 3167. Prime factorization of 85509 in exponential form is:

85509 = 3³ × 3167¹

Step-3: Factors of 85494

List of positive integer factors of 85494 that divides 85494 without a remainder.

1, 2, 3, 6, 14249, 28498, 42747

Step-4: Factors of 85509

List of positive integer factors of 85509 that divides 85494 without a remainder.

1, 3, 9, 27, 3167, 9501, 28503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85494 and 85509. The biggest common factor number is the GCF number.
So the greatest common factor 85494 and 85509 is 3.

Also check out the Least Common Multiple of 85494 and 85509