What is the Greatest Common Factor of 90512 and 90521?

Greatest common factor (GCF) of 90512 and 90521 is 1.

GCF(90512,90521) = 1

We will now calculate the prime factors of 90512 and 90521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90512 and 90521.

How to find the GCF of 90512 and 90521?

We will first find the prime factorization of 90512 and 90521. After we will calculate the factors of 90512 and 90521 and find the biggest common factor number .

Step-1: Prime Factorization of 90512

Prime factors of 90512 are 2, 5657. Prime factorization of 90512 in exponential form is:

90512 = 2⁴ × 5657¹

Step-2: Prime Factorization of 90521

Prime factors of 90521 are 131, 691. Prime factorization of 90521 in exponential form is:

90521 = 131¹ × 691¹

Step-3: Factors of 90512

List of positive integer factors of 90512 that divides 90512 without a remainder.

1, 2, 4, 8, 16, 5657, 11314, 22628, 45256

Step-4: Factors of 90521

List of positive integer factors of 90521 that divides 90512 without a remainder.

1, 131, 691

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90512 and 90521. The biggest common factor number is the GCF number.
So the greatest common factor 90512 and 90521 is 1.

Also check out the Least Common Multiple of 90512 and 90521