What is the Greatest Common Factor of 90700 and 90718?

Greatest common factor (GCF) of 90700 and 90718 is 2.

GCF(90700,90718) = 2

We will now calculate the prime factors of 90700 and 90718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90700 and 90718.

How to find the GCF of 90700 and 90718?

We will first find the prime factorization of 90700 and 90718. After we will calculate the factors of 90700 and 90718 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 90718

Prime factors of 90718 are 2, 67, 677. Prime factorization of 90718 in exponential form is:

90718 = 2¹ × 67¹ × 677¹

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 90718

List of positive integer factors of 90718 that divides 90700 without a remainder.

1, 2, 67, 134, 677, 1354, 45359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90700 and 90718. The biggest common factor number is the GCF number.
So the greatest common factor 90700 and 90718 is 2.

Also check out the Least Common Multiple of 90700 and 90718