What is the Greatest Common Factor of 41251 and 41258?

Greatest common factor (GCF) of 41251 and 41258 is 7.

GCF(41251,41258) = 7

We will now calculate the prime factors of 41251 and 41258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41251 and 41258.

How to find the GCF of 41251 and 41258?

We will first find the prime factorization of 41251 and 41258. After we will calculate the factors of 41251 and 41258 and find the biggest common factor number .

Step-1: Prime Factorization of 41251

Prime factors of 41251 are 7, 71, 83. Prime factorization of 41251 in exponential form is:

41251 = 7¹ × 71¹ × 83¹

Step-2: Prime Factorization of 41258

Prime factors of 41258 are 2, 7, 421. Prime factorization of 41258 in exponential form is:

41258 = 2¹ × 7² × 421¹

Step-3: Factors of 41251

List of positive integer factors of 41251 that divides 41251 without a remainder.

1, 7, 71, 83, 497, 581, 5893

Step-4: Factors of 41258

List of positive integer factors of 41258 that divides 41251 without a remainder.

1, 2, 7, 14, 49, 98, 421, 842, 2947, 5894, 20629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41251 and 41258. The biggest common factor number is the GCF number.
So the greatest common factor 41251 and 41258 is 7.

Also check out the Least Common Multiple of 41251 and 41258