What is the Greatest Common Factor of 90464 and 90472?

Greatest common factor (GCF) of 90464 and 90472 is 8.

GCF(90464,90472) = 8

We will now calculate the prime factors of 90464 and 90472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90464 and 90472.

How to find the GCF of 90464 and 90472?

We will first find the prime factorization of 90464 and 90472. After we will calculate the factors of 90464 and 90472 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 90472

Prime factors of 90472 are 2, 43, 263. Prime factorization of 90472 in exponential form is:

90472 = 2³ × 43¹ × 263¹

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 90472

List of positive integer factors of 90472 that divides 90464 without a remainder.

1, 2, 4, 8, 43, 86, 172, 263, 344, 526, 1052, 2104, 11309, 22618, 45236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90464 and 90472. The biggest common factor number is the GCF number.
So the greatest common factor 90464 and 90472 is 8.

Also check out the Least Common Multiple of 90464 and 90472