What is the Greatest Common Factor of 85089 and 85096?

Greatest common factor (GCF) of 85089 and 85096 is 1.

GCF(85089,85096) = 1

We will now calculate the prime factors of 85089 and 85096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85089 and 85096.

How to find the GCF of 85089 and 85096?

We will first find the prime factorization of 85089 and 85096. After we will calculate the factors of 85089 and 85096 and find the biggest common factor number .

Step-1: Prime Factorization of 85089

Prime factors of 85089 are 3, 113, 251. Prime factorization of 85089 in exponential form is:

85089 = 3¹ × 113¹ × 251¹

Step-2: Prime Factorization of 85096

Prime factors of 85096 are 2, 11, 967. Prime factorization of 85096 in exponential form is:

85096 = 2³ × 11¹ × 967¹

Step-3: Factors of 85089

List of positive integer factors of 85089 that divides 85089 without a remainder.

1, 3, 113, 251, 339, 753, 28363

Step-4: Factors of 85096

List of positive integer factors of 85096 that divides 85089 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 967, 1934, 3868, 7736, 10637, 21274, 42548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85089 and 85096. The biggest common factor number is the GCF number.
So the greatest common factor 85089 and 85096 is 1.

Also check out the Least Common Multiple of 85089 and 85096