What is the Greatest Common Factor of 85501 and 85509?

Greatest common factor (GCF) of 85501 and 85509 is 1.

GCF(85501,85509) = 1

We will now calculate the prime factors of 85501 and 85509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85501 and 85509.

How to find the GCF of 85501 and 85509?

We will first find the prime factorization of 85501 and 85509. After we will calculate the factors of 85501 and 85509 and find the biggest common factor number .

Step-1: Prime Factorization of 85501

Prime factors of 85501 are 13, 6577. Prime factorization of 85501 in exponential form is:

85501 = 13¹ × 6577¹

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 85501

List of positive integer factors of 85501 that divides 85501 without a remainder.

1, 13, 6577

Step-4: Factors of 85509

List of positive integer factors of 85509 that divides 85501 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85501 and 85509. The biggest common factor number is the GCF number.
So the greatest common factor 85501 and 85509 is 1.

Also check out the Least Common Multiple of 85501 and 85509