What is the Greatest Common Factor of 41258 and 41274?

Greatest common factor (GCF) of 41258 and 41274 is 2.

GCF(41258,41274) = 2

We will now calculate the prime factors of 41258 and 41274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41258 and 41274.

How to find the GCF of 41258 and 41274?

We will first find the prime factorization of 41258 and 41274. After we will calculate the factors of 41258 and 41274 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41274

Prime factors of 41274 are 2, 3, 2293. Prime factorization of 41274 in exponential form is:

41274 = 2¹ × 3² × 2293¹

Step-3: Factors of 41258

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

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

Step-4: Factors of 41274

List of positive integer factors of 41274 that divides 41258 without a remainder.

1, 2, 3, 6, 9, 18, 2293, 4586, 6879, 13758, 20637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41258 and 41274. The biggest common factor number is the GCF number.
So the greatest common factor 41258 and 41274 is 2.

Also check out the Least Common Multiple of 41258 and 41274