What is the Greatest Common Factor of 90705 and 90709?

Greatest common factor (GCF) of 90705 and 90709 is 1.

GCF(90705,90709) = 1

We will now calculate the prime factors of 90705 and 90709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90705 and 90709.

How to find the GCF of 90705 and 90709?

We will first find the prime factorization of 90705 and 90709. After we will calculate the factors of 90705 and 90709 and find the biggest common factor number .

Step-1: Prime Factorization of 90705

Prime factors of 90705 are 3, 5, 6047. Prime factorization of 90705 in exponential form is:

90705 = 3¹ × 5¹ × 6047¹

Step-2: Prime Factorization of 90709

Prime factors of 90709 are 90709. Prime factorization of 90709 in exponential form is:

90709 = 90709¹

Step-3: Factors of 90705

List of positive integer factors of 90705 that divides 90705 without a remainder.

1, 3, 5, 15, 6047, 18141, 30235

Step-4: Factors of 90709

List of positive integer factors of 90709 that divides 90705 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90705 and 90709. The biggest common factor number is the GCF number.
So the greatest common factor 90705 and 90709 is 1.

Also check out the Least Common Multiple of 90705 and 90709