What is the Greatest Common Factor of 41762 and 41776?

Greatest common factor (GCF) of 41762 and 41776 is 14.

GCF(41762,41776) = 14

We will now calculate the prime factors of 41762 and 41776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41762 and 41776.

How to find the GCF of 41762 and 41776?

We will first find the prime factorization of 41762 and 41776. After we will calculate the factors of 41762 and 41776 and find the biggest common factor number .

Step-1: Prime Factorization of 41762

Prime factors of 41762 are 2, 7, 19, 157. Prime factorization of 41762 in exponential form is:

41762 = 2¹ × 7¹ × 19¹ × 157¹

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 41762

List of positive integer factors of 41762 that divides 41762 without a remainder.

1, 2, 7, 14, 19, 38, 133, 157, 266, 314, 1099, 2198, 2983, 5966, 20881

Step-4: Factors of 41776

List of positive integer factors of 41776 that divides 41762 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 41762 and 41776. The biggest common factor number is the GCF number.
So the greatest common factor 41762 and 41776 is 14.

Also check out the Least Common Multiple of 41762 and 41776