What is the Greatest Common Factor of 41552 and 41568?

Greatest common factor (GCF) of 41552 and 41568 is 16.

GCF(41552,41568) = 16

We will now calculate the prime factors of 41552 and 41568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41552 and 41568.

How to find the GCF of 41552 and 41568?

We will first find the prime factorization of 41552 and 41568. After we will calculate the factors of 41552 and 41568 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41568

Prime factors of 41568 are 2, 3, 433. Prime factorization of 41568 in exponential form is:

41568 = 2⁵ × 3¹ × 433¹

Step-3: Factors of 41552

List of positive integer factors of 41552 that divides 41552 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

Step-4: Factors of 41568

List of positive integer factors of 41568 that divides 41552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 433, 866, 1299, 1732, 2598, 3464, 5196, 6928, 10392, 13856, 20784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41552 and 41568. The biggest common factor number is the GCF number.
So the greatest common factor 41552 and 41568 is 16.

Also check out the Least Common Multiple of 41552 and 41568