What is the Greatest Common Factor of 85074 and 85089?

Greatest common factor (GCF) of 85074 and 85089 is 3.

GCF(85074,85089) = 3

We will now calculate the prime factors of 85074 and 85089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85074 and 85089.

How to find the GCF of 85074 and 85089?

We will first find the prime factorization of 85074 and 85089. After we will calculate the factors of 85074 and 85089 and find the biggest common factor number .

Step-1: Prime Factorization of 85074

Prime factors of 85074 are 2, 3, 11, 1289. Prime factorization of 85074 in exponential form is:

85074 = 2¹ × 3¹ × 11¹ × 1289¹

Step-2: 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-3: Factors of 85074

List of positive integer factors of 85074 that divides 85074 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1289, 2578, 3867, 7734, 14179, 28358, 42537

Step-4: Factors of 85089

List of positive integer factors of 85089 that divides 85074 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85074 and 85089. The biggest common factor number is the GCF number.
So the greatest common factor 85074 and 85089 is 3.

Also check out the Least Common Multiple of 85074 and 85089