What is the Greatest Common Factor of 40960 and 40968?

Greatest common factor (GCF) of 40960 and 40968 is 8.

GCF(40960,40968) = 8

We will now calculate the prime factors of 40960 and 40968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40960 and 40968.

How to find the GCF of 40960 and 40968?

We will first find the prime factorization of 40960 and 40968. After we will calculate the factors of 40960 and 40968 and find the biggest common factor number .

Step-1: Prime Factorization of 40960

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

40960 = 2¹³ × 5¹

Step-2: Prime Factorization of 40968

Prime factors of 40968 are 2, 3, 569. Prime factorization of 40968 in exponential form is:

40968 = 2³ × 3² × 569¹

Step-3: Factors of 40960

List of positive integer factors of 40960 that divides 40960 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

Step-4: Factors of 40968

List of positive integer factors of 40968 that divides 40960 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 569, 1138, 1707, 2276, 3414, 4552, 5121, 6828, 10242, 13656, 20484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40960 and 40968. The biggest common factor number is the GCF number.
So the greatest common factor 40960 and 40968 is 8.

Also check out the Least Common Multiple of 40960 and 40968