What is the Greatest Common Factor of 90690 and 90705?

Greatest common factor (GCF) of 90690 and 90705 is 15.

GCF(90690,90705) = 15

We will now calculate the prime factors of 90690 and 90705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90690 and 90705.

How to find the GCF of 90690 and 90705?

We will first find the prime factorization of 90690 and 90705. After we will calculate the factors of 90690 and 90705 and find the biggest common factor number .

Step-1: Prime Factorization of 90690

Prime factors of 90690 are 2, 3, 5, 3023. Prime factorization of 90690 in exponential form is:

90690 = 2¹ × 3¹ × 5¹ × 3023¹

Step-2: 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-3: Factors of 90690

List of positive integer factors of 90690 that divides 90690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3023, 6046, 9069, 15115, 18138, 30230, 45345

Step-4: Factors of 90705

List of positive integer factors of 90705 that divides 90690 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90690 and 90705. The biggest common factor number is the GCF number.
So the greatest common factor 90690 and 90705 is 15.

Also check out the Least Common Multiple of 90690 and 90705