What is the Greatest Common Factor of 41138 and 41148?

Greatest common factor (GCF) of 41138 and 41148 is 2.

GCF(41138,41148) = 2

We will now calculate the prime factors of 41138 and 41148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41138 and 41148.

How to find the GCF of 41138 and 41148?

We will first find the prime factorization of 41138 and 41148. After we will calculate the factors of 41138 and 41148 and find the biggest common factor number .

Step-1: Prime Factorization of 41138

Prime factors of 41138 are 2, 67, 307. Prime factorization of 41138 in exponential form is:

41138 = 2¹ × 67¹ × 307¹

Step-2: Prime Factorization of 41148

Prime factors of 41148 are 2, 3, 127. Prime factorization of 41148 in exponential form is:

41148 = 2² × 3⁴ × 127¹

Step-3: Factors of 41138

List of positive integer factors of 41138 that divides 41138 without a remainder.

1, 2, 67, 134, 307, 614, 20569

Step-4: Factors of 41148

List of positive integer factors of 41148 that divides 41138 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 127, 162, 254, 324, 381, 508, 762, 1143, 1524, 2286, 3429, 4572, 6858, 10287, 13716, 20574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41138 and 41148. The biggest common factor number is the GCF number.
So the greatest common factor 41138 and 41148 is 2.

Also check out the Least Common Multiple of 41138 and 41148