What is the Greatest Common Factor of 90672 and 90686?

Greatest common factor (GCF) of 90672 and 90686 is 2.

GCF(90672,90686) = 2

We will now calculate the prime factors of 90672 and 90686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90672 and 90686.

How to find the GCF of 90672 and 90686?

We will first find the prime factorization of 90672 and 90686. After we will calculate the factors of 90672 and 90686 and find the biggest common factor number .

Step-1: Prime Factorization of 90672

Prime factors of 90672 are 2, 3, 1889. Prime factorization of 90672 in exponential form is:

90672 = 2⁴ × 3¹ × 1889¹

Step-2: Prime Factorization of 90686

Prime factors of 90686 are 2, 45343. Prime factorization of 90686 in exponential form is:

90686 = 2¹ × 45343¹

Step-3: Factors of 90672

List of positive integer factors of 90672 that divides 90672 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1889, 3778, 5667, 7556, 11334, 15112, 22668, 30224, 45336

Step-4: Factors of 90686

List of positive integer factors of 90686 that divides 90672 without a remainder.

1, 2, 45343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90672 and 90686. The biggest common factor number is the GCF number.
So the greatest common factor 90672 and 90686 is 2.

Also check out the Least Common Multiple of 90672 and 90686