What is the Greatest Common Factor of 85074 and 85083?

Greatest common factor (GCF) of 85074 and 85083 is 3.

GCF(85074,85083) = 3

We will now calculate the prime factors of 85074 and 85083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85074 and 85083.

How to find the GCF of 85074 and 85083?

We will first find the prime factorization of 85074 and 85083. After we will calculate the factors of 85074 and 85083 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 85083

Prime factors of 85083 are 3, 79, 359. Prime factorization of 85083 in exponential form is:

85083 = 3¹ × 79¹ × 359¹

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 85083

List of positive integer factors of 85083 that divides 85074 without a remainder.

1, 3, 79, 237, 359, 1077, 28361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85074 and 85083. The biggest common factor number is the GCF number.
So the greatest common factor 85074 and 85083 is 3.

Also check out the Least Common Multiple of 85074 and 85083