What is the Greatest Common Factor of 41764 and 41776?

Greatest common factor (GCF) of 41764 and 41776 is 4.

GCF(41764,41776) = 4

We will now calculate the prime factors of 41764 and 41776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41764 and 41776.

How to find the GCF of 41764 and 41776?

We will first find the prime factorization of 41764 and 41776. After we will calculate the factors of 41764 and 41776 and find the biggest common factor number .

Step-1: Prime Factorization of 41764

Prime factors of 41764 are 2, 53, 197. Prime factorization of 41764 in exponential form is:

41764 = 2² × 53¹ × 197¹

Step-2: 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-3: Factors of 41764

List of positive integer factors of 41764 that divides 41764 without a remainder.

1, 2, 4, 53, 106, 197, 212, 394, 788, 10441, 20882

Step-4: Factors of 41776

List of positive integer factors of 41776 that divides 41764 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41764 and 41776. The biggest common factor number is the GCF number.
So the greatest common factor 41764 and 41776 is 4.

Also check out the Least Common Multiple of 41764 and 41776