What is the Greatest Common Factor of 40950 and 40960?

Greatest common factor (GCF) of 40950 and 40960 is 10.

GCF(40950,40960) = 10

We will now calculate the prime factors of 40950 and 40960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40950 and 40960.

How to find the GCF of 40950 and 40960?

We will first find the prime factorization of 40950 and 40960. After we will calculate the factors of 40950 and 40960 and find the biggest common factor number .

Step-1: Prime Factorization of 40950

Prime factors of 40950 are 2, 3, 5, 7, 13. Prime factorization of 40950 in exponential form is:

40950 = 2¹ × 3² × 5² × 7¹ × 13¹

Step-2: Prime Factorization of 40960

Prime factors of 40960 are 2, 5. Prime factorization of 40960 in exponential form is:

40960 = 2¹³ × 5¹

Step-3: Factors of 40950

List of positive integer factors of 40950 that divides 40950 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 25, 26, 30, 35, 39, 42, 45, 50, 63, 65, 70, 75, 78, 90, 91, 105, 117, 126, 130, 150, 175, 182, 195, 210, 225, 234, 273, 315, 325, 350, 390, 450, 455, 525, 546, 585, 630, 650, 819, 910, 975, 1050, 1170, 1365, 1575, 1638, 1950, 2275, 2730, 2925, 3150, 4095, 4550, 5850, 6825, 8190, 13650, 20475

Step-4: Factors of 40960

List of positive integer factors of 40960 that divides 40950 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2048, 2560, 4096, 5120, 8192, 10240, 20480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40950 and 40960. The biggest common factor number is the GCF number.
So the greatest common factor 40950 and 40960 is 10.

Also check out the Least Common Multiple of 40950 and 40960