What is the Greatest Common Factor of 90448 and 90464?

Greatest common factor (GCF) of 90448 and 90464 is 16.

GCF(90448,90464) = 16

We will now calculate the prime factors of 90448 and 90464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90448 and 90464.

How to find the GCF of 90448 and 90464?

We will first find the prime factorization of 90448 and 90464. After we will calculate the factors of 90448 and 90464 and find the biggest common factor number .

Step-1: Prime Factorization of 90448

Prime factors of 90448 are 2, 5653. Prime factorization of 90448 in exponential form is:

90448 = 2⁴ × 5653¹

Step-2: Prime Factorization of 90464

Prime factors of 90464 are 2, 11, 257. Prime factorization of 90464 in exponential form is:

90464 = 2⁵ × 11¹ × 257¹

Step-3: Factors of 90448

List of positive integer factors of 90448 that divides 90448 without a remainder.

1, 2, 4, 8, 16, 5653, 11306, 22612, 45224

Step-4: Factors of 90464

List of positive integer factors of 90464 that divides 90448 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 257, 352, 514, 1028, 2056, 2827, 4112, 5654, 8224, 11308, 22616, 45232

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90448 and 90464. The biggest common factor number is the GCF number.
So the greatest common factor 90448 and 90464 is 16.

Also check out the Least Common Multiple of 90448 and 90464