What is the Greatest Common Factor of 41132 and 41146?

Greatest common factor (GCF) of 41132 and 41146 is 14.

GCF(41132,41146) = 14

We will now calculate the prime factors of 41132 and 41146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41132 and 41146.

How to find the GCF of 41132 and 41146?

We will first find the prime factorization of 41132 and 41146. After we will calculate the factors of 41132 and 41146 and find the biggest common factor number .

Step-1: Prime Factorization of 41132

Prime factors of 41132 are 2, 7, 13, 113. Prime factorization of 41132 in exponential form is:

41132 = 2² × 7¹ × 13¹ × 113¹

Step-2: Prime Factorization of 41146

Prime factors of 41146 are 2, 7, 2939. Prime factorization of 41146 in exponential form is:

41146 = 2¹ × 7¹ × 2939¹

Step-3: Factors of 41132

List of positive integer factors of 41132 that divides 41132 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 113, 182, 226, 364, 452, 791, 1469, 1582, 2938, 3164, 5876, 10283, 20566

Step-4: Factors of 41146

List of positive integer factors of 41146 that divides 41132 without a remainder.

1, 2, 7, 14, 2939, 5878, 20573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41132 and 41146. The biggest common factor number is the GCF number.
So the greatest common factor 41132 and 41146 is 14.

Also check out the Least Common Multiple of 41132 and 41146