What is the Greatest Common Factor of 41024 and 41030?

Greatest common factor (GCF) of 41024 and 41030 is 2.

GCF(41024,41030) = 2

We will now calculate the prime factors of 41024 and 41030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41024 and 41030.

How to find the GCF of 41024 and 41030?

We will first find the prime factorization of 41024 and 41030. After we will calculate the factors of 41024 and 41030 and find the biggest common factor number .

Step-1: Prime Factorization of 41024

Prime factors of 41024 are 2, 641. Prime factorization of 41024 in exponential form is:

41024 = 2⁶ × 641¹

Step-2: Prime Factorization of 41030

Prime factors of 41030 are 2, 5, 11, 373. Prime factorization of 41030 in exponential form is:

41030 = 2¹ × 5¹ × 11¹ × 373¹

Step-3: Factors of 41024

List of positive integer factors of 41024 that divides 41024 without a remainder.

1, 2, 4, 8, 16, 32, 64, 641, 1282, 2564, 5128, 10256, 20512

Step-4: Factors of 41030

List of positive integer factors of 41030 that divides 41024 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 373, 746, 1865, 3730, 4103, 8206, 20515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41024 and 41030. The biggest common factor number is the GCF number.
So the greatest common factor 41024 and 41030 is 2.

Also check out the Least Common Multiple of 41024 and 41030