What is the Greatest Common Factor of 90942 and 90960?

Greatest common factor (GCF) of 90942 and 90960 is 6.

GCF(90942,90960) = 6

We will now calculate the prime factors of 90942 and 90960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90942 and 90960.

How to find the GCF of 90942 and 90960?

We will first find the prime factorization of 90942 and 90960. After we will calculate the factors of 90942 and 90960 and find the biggest common factor number .

Step-1: Prime Factorization of 90942

Prime factors of 90942 are 2, 3, 23, 659. Prime factorization of 90942 in exponential form is:

90942 = 2¹ × 3¹ × 23¹ × 659¹

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 90942

List of positive integer factors of 90942 that divides 90942 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 659, 1318, 1977, 3954, 15157, 30314, 45471

Step-4: Factors of 90960

List of positive integer factors of 90960 that divides 90942 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 90942 and 90960. The biggest common factor number is the GCF number.
So the greatest common factor 90942 and 90960 is 6.

Also check out the Least Common Multiple of 90942 and 90960