What is the Greatest Common Factor of 85489 and 85509?

Greatest common factor (GCF) of 85489 and 85509 is 1.

GCF(85489,85509) = 1

We will now calculate the prime factors of 85489 and 85509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85489 and 85509.

How to find the GCF of 85489 and 85509?

We will first find the prime factorization of 85489 and 85509. After we will calculate the factors of 85489 and 85509 and find the biggest common factor number .

Step-1: Prime Factorization of 85489

Prime factors of 85489 are 53, 1613. Prime factorization of 85489 in exponential form is:

85489 = 53¹ × 1613¹

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 85489

List of positive integer factors of 85489 that divides 85489 without a remainder.

1, 53, 1613

Step-4: Factors of 85509

List of positive integer factors of 85509 that divides 85489 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85489 and 85509. The biggest common factor number is the GCF number.
So the greatest common factor 85489 and 85509 is 1.

Also check out the Least Common Multiple of 85489 and 85509