What is the Greatest Common Factor of 85089 and 85101?

Greatest common factor (GCF) of 85089 and 85101 is 3.

GCF(85089,85101) = 3

We will now calculate the prime factors of 85089 and 85101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85089 and 85101.

How to find the GCF of 85089 and 85101?

We will first find the prime factorization of 85089 and 85101. After we will calculate the factors of 85089 and 85101 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 85101

Prime factors of 85101 are 3, 19, 1493. Prime factorization of 85101 in exponential form is:

85101 = 3¹ × 19¹ × 1493¹

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 85101

List of positive integer factors of 85101 that divides 85089 without a remainder.

1, 3, 19, 57, 1493, 4479, 28367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85089 and 85101. The biggest common factor number is the GCF number.
So the greatest common factor 85089 and 85101 is 3.

Also check out the Least Common Multiple of 85089 and 85101