What is the Greatest Common Factor of 41854 and 41862?

Greatest common factor (GCF) of 41854 and 41862 is 2.

GCF(41854,41862) = 2

We will now calculate the prime factors of 41854 and 41862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41854 and 41862.

How to find the GCF of 41854 and 41862?

We will first find the prime factorization of 41854 and 41862. After we will calculate the factors of 41854 and 41862 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 41862

Prime factors of 41862 are 2, 3, 6977. Prime factorization of 41862 in exponential form is:

41862 = 2¹ × 3¹ × 6977¹

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 41862

List of positive integer factors of 41862 that divides 41854 without a remainder.

1, 2, 3, 6, 6977, 13954, 20931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41854 and 41862. The biggest common factor number is the GCF number.
So the greatest common factor 41854 and 41862 is 2.

Also check out the Least Common Multiple of 41854 and 41862