What is the Greatest Common Factor of 41776 and 41782?

Greatest common factor (GCF) of 41776 and 41782 is 2.

GCF(41776,41782) = 2

We will now calculate the prime factors of 41776 and 41782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41776 and 41782.

How to find the GCF of 41776 and 41782?

We will first find the prime factorization of 41776 and 41782. After we will calculate the factors of 41776 and 41782 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 41782

Prime factors of 41782 are 2, 13, 1607. Prime factorization of 41782 in exponential form is:

41782 = 2¹ × 13¹ × 1607¹

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 41782

List of positive integer factors of 41782 that divides 41776 without a remainder.

1, 2, 13, 26, 1607, 3214, 20891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41776 and 41782. The biggest common factor number is the GCF number.
So the greatest common factor 41776 and 41782 is 2.

Also check out the Least Common Multiple of 41776 and 41782