What is the Greatest Common Factor of 90449 and 90464?

Greatest common factor (GCF) of 90449 and 90464 is 1.

GCF(90449,90464) = 1

We will now calculate the prime factors of 90449 and 90464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90449 and 90464.

How to find the GCF of 90449 and 90464?

We will first find the prime factorization of 90449 and 90464. After we will calculate the factors of 90449 and 90464 and find the biggest common factor number .

Step-1: Prime Factorization of 90449

Prime factors of 90449 are 151, 599. Prime factorization of 90449 in exponential form is:

90449 = 151¹ × 599¹

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 90449

List of positive integer factors of 90449 that divides 90449 without a remainder.

1, 151, 599

Step-4: Factors of 90464

List of positive integer factors of 90464 that divides 90449 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 90449 and 90464. The biggest common factor number is the GCF number.
So the greatest common factor 90449 and 90464 is 1.

Also check out the Least Common Multiple of 90449 and 90464