What is the Greatest Common Factor of 41119 and 41132?

Greatest common factor (GCF) of 41119 and 41132 is 13.

GCF(41119,41132) = 13

We will now calculate the prime factors of 41119 and 41132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41119 and 41132.

How to find the GCF of 41119 and 41132?

We will first find the prime factorization of 41119 and 41132. After we will calculate the factors of 41119 and 41132 and find the biggest common factor number .

Step-1: Prime Factorization of 41119

Prime factors of 41119 are 13, 3163. Prime factorization of 41119 in exponential form is:

41119 = 13¹ × 3163¹

Step-2: 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-3: Factors of 41119

List of positive integer factors of 41119 that divides 41119 without a remainder.

1, 13, 3163

Step-4: Factors of 41132

List of positive integer factors of 41132 that divides 41119 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41119 and 41132. The biggest common factor number is the GCF number.
So the greatest common factor 41119 and 41132 is 13.

Also check out the Least Common Multiple of 41119 and 41132