What is the Greatest Common Factor of 90666 and 90682?

Greatest common factor (GCF) of 90666 and 90682 is 2.

GCF(90666,90682) = 2

We will now calculate the prime factors of 90666 and 90682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90666 and 90682.

How to find the GCF of 90666 and 90682?

We will first find the prime factorization of 90666 and 90682. After we will calculate the factors of 90666 and 90682 and find the biggest common factor number .

Step-1: Prime Factorization of 90666

Prime factors of 90666 are 2, 3, 23, 73. Prime factorization of 90666 in exponential form is:

90666 = 2¹ × 3³ × 23¹ × 73¹

Step-2: Prime Factorization of 90682

Prime factors of 90682 are 2, 45341. Prime factorization of 90682 in exponential form is:

90682 = 2¹ × 45341¹

Step-3: Factors of 90666

List of positive integer factors of 90666 that divides 90666 without a remainder.

1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 73, 138, 146, 207, 219, 414, 438, 621, 657, 1242, 1314, 1679, 1971, 3358, 3942, 5037, 10074, 15111, 30222, 45333

Step-4: Factors of 90682

List of positive integer factors of 90682 that divides 90666 without a remainder.

1, 2, 45341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90666 and 90682. The biggest common factor number is the GCF number.
So the greatest common factor 90666 and 90682 is 2.

Also check out the Least Common Multiple of 90666 and 90682