What is the Greatest Common Factor of 90654 and 90669?

Greatest common factor (GCF) of 90654 and 90669 is 3.

GCF(90654,90669) = 3

We will now calculate the prime factors of 90654 and 90669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90654 and 90669.

How to find the GCF of 90654 and 90669?

We will first find the prime factorization of 90654 and 90669. After we will calculate the factors of 90654 and 90669 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 90669

Prime factors of 90669 are 3, 30223. Prime factorization of 90669 in exponential form is:

90669 = 3¹ × 30223¹

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 90669

List of positive integer factors of 90669 that divides 90654 without a remainder.

1, 3, 30223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90654 and 90669. The biggest common factor number is the GCF number.
So the greatest common factor 90654 and 90669 is 3.

Also check out the Least Common Multiple of 90654 and 90669