What is the Greatest Common Factor of 41776 and 41784?

Greatest common factor (GCF) of 41776 and 41784 is 8.

GCF(41776,41784) = 8

We will now calculate the prime factors of 41776 and 41784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41776 and 41784.

How to find the GCF of 41776 and 41784?

We will first find the prime factorization of 41776 and 41784. After we will calculate the factors of 41776 and 41784 and find the biggest common factor number .

Step-1: Prime Factorization of 41776

Prime factors of 41776 are 2, 7, 373. Prime factorization of 41776 in exponential form is:

41776 = 2⁴ × 7¹ × 373¹

Step-2: Prime Factorization of 41784

Prime factors of 41784 are 2, 3, 1741. Prime factorization of 41784 in exponential form is:

41784 = 2³ × 3¹ × 1741¹

Step-3: Factors of 41776

List of positive integer factors of 41776 that divides 41776 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 373, 746, 1492, 2611, 2984, 5222, 5968, 10444, 20888

Step-4: Factors of 41784

List of positive integer factors of 41784 that divides 41776 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1741, 3482, 5223, 6964, 10446, 13928, 20892

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41776 and 41784. The biggest common factor number is the GCF number.
So the greatest common factor 41776 and 41784 is 8.

Also check out the Least Common Multiple of 41776 and 41784