What is the Greatest Common Factor of 41538 and 41552?

Greatest common factor (GCF) of 41538 and 41552 is 14.

GCF(41538,41552) = 14

We will now calculate the prime factors of 41538 and 41552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41538 and 41552.

How to find the GCF of 41538 and 41552?

We will first find the prime factorization of 41538 and 41552. After we will calculate the factors of 41538 and 41552 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 41552

Prime factors of 41552 are 2, 7, 53. Prime factorization of 41552 in exponential form is:

41552 = 2⁴ × 7² × 53¹

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 41552

List of positive integer factors of 41552 that divides 41538 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 53, 56, 98, 106, 112, 196, 212, 371, 392, 424, 742, 784, 848, 1484, 2597, 2968, 5194, 5936, 10388, 20776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41538 and 41552. The biggest common factor number is the GCF number.
So the greatest common factor 41538 and 41552 is 14.

Also check out the Least Common Multiple of 41538 and 41552