What is the Greatest Common Factor of 90645 and 90657?

Greatest common factor (GCF) of 90645 and 90657 is 3.

GCF(90645,90657) = 3

We will now calculate the prime factors of 90645 and 90657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90645 and 90657.

How to find the GCF of 90645 and 90657?

We will first find the prime factorization of 90645 and 90657. After we will calculate the factors of 90645 and 90657 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 90657

Prime factors of 90657 are 3, 7, 1439. Prime factorization of 90657 in exponential form is:

90657 = 3² × 7¹ × 1439¹

Step-3: Factors of 90645

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

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

Step-4: Factors of 90657

List of positive integer factors of 90657 that divides 90645 without a remainder.

1, 3, 7, 9, 21, 63, 1439, 4317, 10073, 12951, 30219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90645 and 90657. The biggest common factor number is the GCF number.
So the greatest common factor 90645 and 90657 is 3.

Also check out the Least Common Multiple of 90645 and 90657