What is the Greatest Common Factor of 41286 and 41300?

Greatest common factor (GCF) of 41286 and 41300 is 14.

GCF(41286,41300) = 14

We will now calculate the prime factors of 41286 and 41300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41286 and 41300.

How to find the GCF of 41286 and 41300?

We will first find the prime factorization of 41286 and 41300. After we will calculate the factors of 41286 and 41300 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 41300

Prime factors of 41300 are 2, 5, 7, 59. Prime factorization of 41300 in exponential form is:

41300 = 2² × 5² × 7¹ × 59¹

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 41300

List of positive integer factors of 41300 that divides 41286 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 59, 70, 100, 118, 140, 175, 236, 295, 350, 413, 590, 700, 826, 1180, 1475, 1652, 2065, 2950, 4130, 5900, 8260, 10325, 20650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41286 and 41300. The biggest common factor number is the GCF number.
So the greatest common factor 41286 and 41300 is 14.

Also check out the Least Common Multiple of 41286 and 41300