What is the Greatest Common Factor of 40852 and 40864?

Greatest common factor (GCF) of 40852 and 40864 is 4.

GCF(40852,40864) = 4

We will now calculate the prime factors of 40852 and 40864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40852 and 40864.

How to find the GCF of 40852 and 40864?

We will first find the prime factorization of 40852 and 40864. After we will calculate the factors of 40852 and 40864 and find the biggest common factor number .

Step-1: Prime Factorization of 40852

Prime factors of 40852 are 2, 7, 1459. Prime factorization of 40852 in exponential form is:

40852 = 2² × 7¹ × 1459¹

Step-2: Prime Factorization of 40864

Prime factors of 40864 are 2, 1277. Prime factorization of 40864 in exponential form is:

40864 = 2⁵ × 1277¹

Step-3: Factors of 40852

List of positive integer factors of 40852 that divides 40852 without a remainder.

1, 2, 4, 7, 14, 28, 1459, 2918, 5836, 10213, 20426

Step-4: Factors of 40864

List of positive integer factors of 40864 that divides 40852 without a remainder.

1, 2, 4, 8, 16, 32, 1277, 2554, 5108, 10216, 20432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40852 and 40864. The biggest common factor number is the GCF number.
So the greatest common factor 40852 and 40864 is 4.

Also check out the Least Common Multiple of 40852 and 40864