What is the Greatest Common Factor of 41854 and 41864?

Greatest common factor (GCF) of 41854 and 41864 is 2.

GCF(41854,41864) = 2

We will now calculate the prime factors of 41854 and 41864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41854 and 41864.

How to find the GCF of 41854 and 41864?

We will first find the prime factorization of 41854 and 41864. After we will calculate the factors of 41854 and 41864 and find the biggest common factor number .

Step-1: Prime Factorization of 41854

Prime factors of 41854 are 2, 17, 1231. Prime factorization of 41854 in exponential form is:

41854 = 2¹ × 17¹ × 1231¹

Step-2: Prime Factorization of 41864

Prime factors of 41864 are 2, 5233. Prime factorization of 41864 in exponential form is:

41864 = 2³ × 5233¹

Step-3: Factors of 41854

List of positive integer factors of 41854 that divides 41854 without a remainder.

1, 2, 17, 34, 1231, 2462, 20927

Step-4: Factors of 41864

List of positive integer factors of 41864 that divides 41854 without a remainder.

1, 2, 4, 8, 5233, 10466, 20932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41854 and 41864. The biggest common factor number is the GCF number.
So the greatest common factor 41854 and 41864 is 2.

Also check out the Least Common Multiple of 41854 and 41864