What is the Greatest Common Factor of 40238 and 40249?

Greatest common factor (GCF) of 40238 and 40249 is 11.

GCF(40238,40249) = 11

We will now calculate the prime factors of 40238 and 40249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40238 and 40249.

How to find the GCF of 40238 and 40249?

We will first find the prime factorization of 40238 and 40249. After we will calculate the factors of 40238 and 40249 and find the biggest common factor number .

Step-1: Prime Factorization of 40238

Prime factors of 40238 are 2, 11, 31, 59. Prime factorization of 40238 in exponential form is:

40238 = 2¹ × 11¹ × 31¹ × 59¹

Step-2: Prime Factorization of 40249

Prime factors of 40249 are 11, 3659. Prime factorization of 40249 in exponential form is:

40249 = 11¹ × 3659¹

Step-3: Factors of 40238

List of positive integer factors of 40238 that divides 40238 without a remainder.

1, 2, 11, 22, 31, 59, 62, 118, 341, 649, 682, 1298, 1829, 3658, 20119

Step-4: Factors of 40249

List of positive integer factors of 40249 that divides 40238 without a remainder.

1, 11, 3659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40238 and 40249. The biggest common factor number is the GCF number.
So the greatest common factor 40238 and 40249 is 11.

Also check out the Least Common Multiple of 40238 and 40249