What is the Greatest Common Factor of 90680 and 90685?

Greatest common factor (GCF) of 90680 and 90685 is 5.

GCF(90680,90685) = 5

We will now calculate the prime factors of 90680 and 90685, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90680 and 90685.

How to find the GCF of 90680 and 90685?

We will first find the prime factorization of 90680 and 90685. After we will calculate the factors of 90680 and 90685 and find the biggest common factor number .

Step-1: Prime Factorization of 90680

Prime factors of 90680 are 2, 5, 2267. Prime factorization of 90680 in exponential form is:

90680 = 2³ × 5¹ × 2267¹

Step-2: Prime Factorization of 90685

Prime factors of 90685 are 5, 7, 2591. Prime factorization of 90685 in exponential form is:

90685 = 5¹ × 7¹ × 2591¹

Step-3: Factors of 90680

List of positive integer factors of 90680 that divides 90680 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 2267, 4534, 9068, 11335, 18136, 22670, 45340

Step-4: Factors of 90685

List of positive integer factors of 90685 that divides 90680 without a remainder.

1, 5, 7, 35, 2591, 12955, 18137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90680 and 90685. The biggest common factor number is the GCF number.
So the greatest common factor 90680 and 90685 is 5.

Also check out the Least Common Multiple of 90680 and 90685