What is the Greatest Common Factor of 41286 and 41290?

Greatest common factor (GCF) of 41286 and 41290 is 2.

GCF(41286,41290) = 2

We will now calculate the prime factors of 41286 and 41290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41286 and 41290.

How to find the GCF of 41286 and 41290?

We will first find the prime factorization of 41286 and 41290. After we will calculate the factors of 41286 and 41290 and find the biggest common factor number .

Step-1: Prime Factorization of 41286

Prime factors of 41286 are 2, 3, 7, 983. Prime factorization of 41286 in exponential form is:

41286 = 2¹ × 3¹ × 7¹ × 983¹

Step-2: Prime Factorization of 41290

Prime factors of 41290 are 2, 5, 4129. Prime factorization of 41290 in exponential form is:

41290 = 2¹ × 5¹ × 4129¹

Step-3: Factors of 41286

List of positive integer factors of 41286 that divides 41286 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 983, 1966, 2949, 5898, 6881, 13762, 20643

Step-4: Factors of 41290

List of positive integer factors of 41290 that divides 41286 without a remainder.

1, 2, 5, 10, 4129, 8258, 20645

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41286 and 41290. The biggest common factor number is the GCF number.
So the greatest common factor 41286 and 41290 is 2.

Also check out the Least Common Multiple of 41286 and 41290