What is the Greatest Common Factor of 90464 and 90476?

Greatest common factor (GCF) of 90464 and 90476 is 4.

GCF(90464,90476) = 4

We will now calculate the prime factors of 90464 and 90476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90464 and 90476.

How to find the GCF of 90464 and 90476?

We will first find the prime factorization of 90464 and 90476. After we will calculate the factors of 90464 and 90476 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90476

Prime factors of 90476 are 2, 22619. Prime factorization of 90476 in exponential form is:

90476 = 2² × 22619¹

Step-3: Factors of 90464

List of positive integer factors of 90464 that divides 90464 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

Step-4: Factors of 90476

List of positive integer factors of 90476 that divides 90464 without a remainder.

1, 2, 4, 22619, 45238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90464 and 90476. The biggest common factor number is the GCF number.
So the greatest common factor 90464 and 90476 is 4.

Also check out the Least Common Multiple of 90464 and 90476