What is the Greatest Common Factor of 90609 and 90629?

Greatest common factor (GCF) of 90609 and 90629 is 1.

GCF(90609,90629) = 1

We will now calculate the prime factors of 90609 and 90629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90609 and 90629.

How to find the GCF of 90609 and 90629?

We will first find the prime factorization of 90609 and 90629. After we will calculate the factors of 90609 and 90629 and find the biggest common factor number .

Step-1: Prime Factorization of 90609

Prime factors of 90609 are 3, 30203. Prime factorization of 90609 in exponential form is:

90609 = 3¹ × 30203¹

Step-2: Prime Factorization of 90629

Prime factors of 90629 are 7, 11, 107. Prime factorization of 90629 in exponential form is:

90629 = 7¹ × 11² × 107¹

Step-3: Factors of 90609

List of positive integer factors of 90609 that divides 90609 without a remainder.

1, 3, 30203

Step-4: Factors of 90629

List of positive integer factors of 90629 that divides 90609 without a remainder.

1, 7, 11, 77, 107, 121, 749, 847, 1177, 8239, 12947

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90609 and 90629. The biggest common factor number is the GCF number.
So the greatest common factor 90609 and 90629 is 1.

Also check out the Least Common Multiple of 90609 and 90629