What is the Greatest Common Factor of 90705 and 90713?

Greatest common factor (GCF) of 90705 and 90713 is 1.

GCF(90705,90713) = 1

We will now calculate the prime factors of 90705 and 90713, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90705 and 90713.

How to find the GCF of 90705 and 90713?

We will first find the prime factorization of 90705 and 90713. After we will calculate the factors of 90705 and 90713 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 90713

Prime factors of 90713 are 7, 12959. Prime factorization of 90713 in exponential form is:

90713 = 7¹ × 12959¹

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 90713

List of positive integer factors of 90713 that divides 90705 without a remainder.

1, 7, 12959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90705 and 90713. The biggest common factor number is the GCF number.
So the greatest common factor 90705 and 90713 is 1.

Also check out the Least Common Multiple of 90705 and 90713