What is the Greatest Common Factor of 90560 and 90577?

Greatest common factor (GCF) of 90560 and 90577 is 1.

GCF(90560,90577) = 1

We will now calculate the prime factors of 90560 and 90577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90560 and 90577.

How to find the GCF of 90560 and 90577?

We will first find the prime factorization of 90560 and 90577. After we will calculate the factors of 90560 and 90577 and find the biggest common factor number .

Step-1: Prime Factorization of 90560

Prime factors of 90560 are 2, 5, 283. Prime factorization of 90560 in exponential form is:

90560 = 2⁶ × 5¹ × 283¹

Step-2: Prime Factorization of 90577

Prime factors of 90577 are 53, 1709. Prime factorization of 90577 in exponential form is:

90577 = 53¹ × 1709¹

Step-3: Factors of 90560

List of positive integer factors of 90560 that divides 90560 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 283, 320, 566, 1132, 1415, 2264, 2830, 4528, 5660, 9056, 11320, 18112, 22640, 45280

Step-4: Factors of 90577

List of positive integer factors of 90577 that divides 90560 without a remainder.

1, 53, 1709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90560 and 90577. The biggest common factor number is the GCF number.
So the greatest common factor 90560 and 90577 is 1.

Also check out the Least Common Multiple of 90560 and 90577