What is the Greatest Common Factor of 41251 and 41265?

Greatest common factor (GCF) of 41251 and 41265 is 7.

GCF(41251,41265) = 7

We will now calculate the prime factors of 41251 and 41265, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41251 and 41265.

How to find the GCF of 41251 and 41265?

We will first find the prime factorization of 41251 and 41265. After we will calculate the factors of 41251 and 41265 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 41265

Prime factors of 41265 are 3, 5, 7, 131. Prime factorization of 41265 in exponential form is:

41265 = 3² × 5¹ × 7¹ × 131¹

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 41265

List of positive integer factors of 41265 that divides 41251 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 131, 315, 393, 655, 917, 1179, 1965, 2751, 4585, 5895, 8253, 13755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41251 and 41265. The biggest common factor number is the GCF number.
So the greatest common factor 41251 and 41265 is 7.

Also check out the Least Common Multiple of 41251 and 41265