What is the Greatest Common Factor of 40940 and 40960?

Greatest common factor (GCF) of 40940 and 40960 is 20.

GCF(40940,40960) = 20

We will now calculate the prime factors of 40940 and 40960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40940 and 40960.

How to find the GCF of 40940 and 40960?

We will first find the prime factorization of 40940 and 40960. After we will calculate the factors of 40940 and 40960 and find the biggest common factor number .

Step-1: Prime Factorization of 40940

Prime factors of 40940 are 2, 5, 23, 89. Prime factorization of 40940 in exponential form is:

40940 = 2² × 5¹ × 23¹ × 89¹

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 40940

List of positive integer factors of 40940 that divides 40940 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 89, 92, 115, 178, 230, 356, 445, 460, 890, 1780, 2047, 4094, 8188, 10235, 20470

Step-4: Factors of 40960

List of positive integer factors of 40960 that divides 40940 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 40940 and 40960. The biggest common factor number is the GCF number.
So the greatest common factor 40940 and 40960 is 20.

Also check out the Least Common Multiple of 40940 and 40960