What is the Greatest Common Factor of 90654 and 90667?

Greatest common factor (GCF) of 90654 and 90667 is 1.

GCF(90654,90667) = 1

We will now calculate the prime factors of 90654 and 90667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90654 and 90667.

How to find the GCF of 90654 and 90667?

We will first find the prime factorization of 90654 and 90667. After we will calculate the factors of 90654 and 90667 and find the biggest common factor number .

Step-1: Prime Factorization of 90654

Prime factors of 90654 are 2, 3, 29, 521. Prime factorization of 90654 in exponential form is:

90654 = 2¹ × 3¹ × 29¹ × 521¹

Step-2: Prime Factorization of 90667

Prime factors of 90667 are 71, 1277. Prime factorization of 90667 in exponential form is:

90667 = 71¹ × 1277¹

Step-3: Factors of 90654

List of positive integer factors of 90654 that divides 90654 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 521, 1042, 1563, 3126, 15109, 30218, 45327

Step-4: Factors of 90667

List of positive integer factors of 90667 that divides 90654 without a remainder.

1, 71, 1277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90654 and 90667. The biggest common factor number is the GCF number.
So the greatest common factor 90654 and 90667 is 1.

Also check out the Least Common Multiple of 90654 and 90667