What is the Greatest Common Factor of 90633 and 90645?

Greatest common factor (GCF) of 90633 and 90645 is 3.

GCF(90633,90645) = 3

We will now calculate the prime factors of 90633 and 90645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90633 and 90645.

How to find the GCF of 90633 and 90645?

We will first find the prime factorization of 90633 and 90645. After we will calculate the factors of 90633 and 90645 and find the biggest common factor number .

Step-1: Prime Factorization of 90633

Prime factors of 90633 are 3, 30211. Prime factorization of 90633 in exponential form is:

90633 = 3¹ × 30211¹

Step-2: Prime Factorization of 90645

Prime factors of 90645 are 3, 5, 6043. Prime factorization of 90645 in exponential form is:

90645 = 3¹ × 5¹ × 6043¹

Step-3: Factors of 90633

List of positive integer factors of 90633 that divides 90633 without a remainder.

1, 3, 30211

Step-4: Factors of 90645

List of positive integer factors of 90645 that divides 90633 without a remainder.

1, 3, 5, 15, 6043, 18129, 30215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90633 and 90645. The biggest common factor number is the GCF number.
So the greatest common factor 90633 and 90645 is 3.

Also check out the Least Common Multiple of 90633 and 90645