What is the Greatest Common Factor of 90945 and 90960?

Greatest common factor (GCF) of 90945 and 90960 is 15.

GCF(90945,90960) = 15

We will now calculate the prime factors of 90945 and 90960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90945 and 90960.

How to find the GCF of 90945 and 90960?

We will first find the prime factorization of 90945 and 90960. After we will calculate the factors of 90945 and 90960 and find the biggest common factor number .

Step-1: Prime Factorization of 90945

Prime factors of 90945 are 3, 5, 43, 47. Prime factorization of 90945 in exponential form is:

90945 = 3² × 5¹ × 43¹ × 47¹

Step-2: Prime Factorization of 90960

Prime factors of 90960 are 2, 3, 5, 379. Prime factorization of 90960 in exponential form is:

90960 = 2⁴ × 3¹ × 5¹ × 379¹

Step-3: Factors of 90945

List of positive integer factors of 90945 that divides 90945 without a remainder.

1, 3, 5, 9, 15, 43, 45, 47, 129, 141, 215, 235, 387, 423, 645, 705, 1935, 2021, 2115, 6063, 10105, 18189, 30315

Step-4: Factors of 90960

List of positive integer factors of 90960 that divides 90945 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 379, 758, 1137, 1516, 1895, 2274, 3032, 3790, 4548, 5685, 6064, 7580, 9096, 11370, 15160, 18192, 22740, 30320, 45480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90945 and 90960. The biggest common factor number is the GCF number.
So the greatest common factor 90945 and 90960 is 15.

Also check out the Least Common Multiple of 90945 and 90960