What is the Greatest Common Factor of 90416 and 90424?

Greatest common factor (GCF) of 90416 and 90424 is 8.

GCF(90416,90424) = 8

We will now calculate the prime factors of 90416 and 90424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90416 and 90424.

How to find the GCF of 90416 and 90424?

We will first find the prime factorization of 90416 and 90424. After we will calculate the factors of 90416 and 90424 and find the biggest common factor number .

Step-1: Prime Factorization of 90416

Prime factors of 90416 are 2, 5651. Prime factorization of 90416 in exponential form is:

90416 = 2⁴ × 5651¹

Step-2: Prime Factorization of 90424

Prime factors of 90424 are 2, 89, 127. Prime factorization of 90424 in exponential form is:

90424 = 2³ × 89¹ × 127¹

Step-3: Factors of 90416

List of positive integer factors of 90416 that divides 90416 without a remainder.

1, 2, 4, 8, 16, 5651, 11302, 22604, 45208

Step-4: Factors of 90424

List of positive integer factors of 90424 that divides 90416 without a remainder.

1, 2, 4, 8, 89, 127, 178, 254, 356, 508, 712, 1016, 11303, 22606, 45212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90416 and 90424. The biggest common factor number is the GCF number.
So the greatest common factor 90416 and 90424 is 8.

Also check out the Least Common Multiple of 90416 and 90424