What is the Greatest Common Factor of 41552 and 41562?

Greatest common factor (GCF) of 41552 and 41562 is 2.

GCF(41552,41562) = 2

We will now calculate the prime factors of 41552 and 41562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41552 and 41562.

How to find the GCF of 41552 and 41562?

We will first find the prime factorization of 41552 and 41562. After we will calculate the factors of 41552 and 41562 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 41562

Prime factors of 41562 are 2, 3, 2309. Prime factorization of 41562 in exponential form is:

41562 = 2¹ × 3² × 2309¹

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 41562

List of positive integer factors of 41562 that divides 41552 without a remainder.

1, 2, 3, 6, 9, 18, 2309, 4618, 6927, 13854, 20781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41552 and 41562. The biggest common factor number is the GCF number.
So the greatest common factor 41552 and 41562 is 2.

Also check out the Least Common Multiple of 41552 and 41562