What is the Greatest Common Factor of 90700 and 90705?

Greatest common factor (GCF) of 90700 and 90705 is 5.

GCF(90700,90705) = 5

We will now calculate the prime factors of 90700 and 90705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90700 and 90705.

How to find the GCF of 90700 and 90705?

We will first find the prime factorization of 90700 and 90705. After we will calculate the factors of 90700 and 90705 and find the biggest common factor number .

Step-1: Prime Factorization of 90700

Prime factors of 90700 are 2, 5, 907. Prime factorization of 90700 in exponential form is:

90700 = 2² × 5² × 907¹

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 90700

List of positive integer factors of 90700 that divides 90700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 907, 1814, 3628, 4535, 9070, 18140, 22675, 45350

Step-4: Factors of 90705

List of positive integer factors of 90705 that divides 90700 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90700 and 90705. The biggest common factor number is the GCF number.
So the greatest common factor 90700 and 90705 is 5.

Also check out the Least Common Multiple of 90700 and 90705