What is the Greatest Common Factor of 90077 and 90085?

Greatest common factor (GCF) of 90077 and 90085 is 1.

GCF(90077,90085) = 1

We will now calculate the prime factors of 90077 and 90085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90077 and 90085.

How to find the GCF of 90077 and 90085?

We will first find the prime factorization of 90077 and 90085. After we will calculate the factors of 90077 and 90085 and find the biggest common factor number .

Step-1: Prime Factorization of 90077

Prime factors of 90077 are 13, 41. Prime factorization of 90077 in exponential form is:

90077 = 13³ × 41¹

Step-2: Prime Factorization of 90085

Prime factors of 90085 are 5, 43, 419. Prime factorization of 90085 in exponential form is:

90085 = 5¹ × 43¹ × 419¹

Step-3: Factors of 90077

List of positive integer factors of 90077 that divides 90077 without a remainder.

1, 13, 41, 169, 533, 2197, 6929

Step-4: Factors of 90085

List of positive integer factors of 90085 that divides 90077 without a remainder.

1, 5, 43, 215, 419, 2095, 18017

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90077 and 90085. The biggest common factor number is the GCF number.
So the greatest common factor 90077 and 90085 is 1.

Also check out the Least Common Multiple of 90077 and 90085