What is the Greatest Common Factor of 90658 and 90666?

Greatest common factor (GCF) of 90658 and 90666 is 2.

GCF(90658,90666) = 2

We will now calculate the prime factors of 90658 and 90666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90658 and 90666.

How to find the GCF of 90658 and 90666?

We will first find the prime factorization of 90658 and 90666. After we will calculate the factors of 90658 and 90666 and find the biggest common factor number .

Step-1: Prime Factorization of 90658

Prime factors of 90658 are 2, 45329. Prime factorization of 90658 in exponential form is:

90658 = 2¹ × 45329¹

Step-2: 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-3: Factors of 90658

List of positive integer factors of 90658 that divides 90658 without a remainder.

1, 2, 45329

Step-4: Factors of 90666

List of positive integer factors of 90666 that divides 90658 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90658 and 90666. The biggest common factor number is the GCF number.
So the greatest common factor 90658 and 90666 is 2.

Also check out the Least Common Multiple of 90658 and 90666