What is the Greatest Common Factor of 41262 and 41275?

Greatest common factor (GCF) of 41262 and 41275 is 13.

GCF(41262,41275) = 13

We will now calculate the prime factors of 41262 and 41275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41262 and 41275.

How to find the GCF of 41262 and 41275?

We will first find the prime factorization of 41262 and 41275. After we will calculate the factors of 41262 and 41275 and find the biggest common factor number .

Step-1: Prime Factorization of 41262

Prime factors of 41262 are 2, 3, 13, 23. Prime factorization of 41262 in exponential form is:

41262 = 2¹ × 3¹ × 13¹ × 23²

Step-2: Prime Factorization of 41275

Prime factors of 41275 are 5, 13, 127. Prime factorization of 41275 in exponential form is:

41275 = 5² × 13¹ × 127¹

Step-3: Factors of 41262

List of positive integer factors of 41262 that divides 41262 without a remainder.

1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 299, 529, 598, 897, 1058, 1587, 1794, 3174, 6877, 13754, 20631

Step-4: Factors of 41275

List of positive integer factors of 41275 that divides 41262 without a remainder.

1, 5, 13, 25, 65, 127, 325, 635, 1651, 3175, 8255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41262 and 41275. The biggest common factor number is the GCF number.
So the greatest common factor 41262 and 41275 is 13.

Also check out the Least Common Multiple of 41262 and 41275