What is the Greatest Common Factor of 41538 and 41545?

Greatest common factor (GCF) of 41538 and 41545 is 7.

GCF(41538,41545) = 7

We will now calculate the prime factors of 41538 and 41545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41538 and 41545.

How to find the GCF of 41538 and 41545?

We will first find the prime factorization of 41538 and 41545. After we will calculate the factors of 41538 and 41545 and find the biggest common factor number .

Step-1: Prime Factorization of 41538

Prime factors of 41538 are 2, 3, 7, 23, 43. Prime factorization of 41538 in exponential form is:

41538 = 2¹ × 3¹ × 7¹ × 23¹ × 43¹

Step-2: Prime Factorization of 41545

Prime factors of 41545 are 5, 7, 1187. Prime factorization of 41545 in exponential form is:

41545 = 5¹ × 7¹ × 1187¹

Step-3: Factors of 41538

List of positive integer factors of 41538 that divides 41538 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 43, 46, 69, 86, 129, 138, 161, 258, 301, 322, 483, 602, 903, 966, 989, 1806, 1978, 2967, 5934, 6923, 13846, 20769

Step-4: Factors of 41545

List of positive integer factors of 41545 that divides 41538 without a remainder.

1, 5, 7, 35, 1187, 5935, 8309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41538 and 41545. The biggest common factor number is the GCF number.
So the greatest common factor 41538 and 41545 is 7.

Also check out the Least Common Multiple of 41538 and 41545