What is the Greatest Common Factor of 41248 and 41262?

Greatest common factor (GCF) of 41248 and 41262 is 2.

GCF(41248,41262) = 2

We will now calculate the prime factors of 41248 and 41262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41248 and 41262.

How to find the GCF of 41248 and 41262?

We will first find the prime factorization of 41248 and 41262. After we will calculate the factors of 41248 and 41262 and find the biggest common factor number .

Step-1: Prime Factorization of 41248

Prime factors of 41248 are 2, 1289. Prime factorization of 41248 in exponential form is:

41248 = 2⁵ × 1289¹

Step-2: 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-3: Factors of 41248

List of positive integer factors of 41248 that divides 41248 without a remainder.

1, 2, 4, 8, 16, 32, 1289, 2578, 5156, 10312, 20624

Step-4: Factors of 41262

List of positive integer factors of 41262 that divides 41248 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41248 and 41262. The biggest common factor number is the GCF number.
So the greatest common factor 41248 and 41262 is 2.

Also check out the Least Common Multiple of 41248 and 41262