What is the Greatest Common Factor of 41792 and 41808?

Greatest common factor (GCF) of 41792 and 41808 is 16.

GCF(41792,41808) = 16

We will now calculate the prime factors of 41792 and 41808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41792 and 41808.

How to find the GCF of 41792 and 41808?

We will first find the prime factorization of 41792 and 41808. After we will calculate the factors of 41792 and 41808 and find the biggest common factor number .

Step-1: Prime Factorization of 41792

Prime factors of 41792 are 2, 653. Prime factorization of 41792 in exponential form is:

41792 = 2⁶ × 653¹

Step-2: Prime Factorization of 41808

Prime factors of 41808 are 2, 3, 13, 67. Prime factorization of 41808 in exponential form is:

41808 = 2⁴ × 3¹ × 13¹ × 67¹

Step-3: Factors of 41792

List of positive integer factors of 41792 that divides 41792 without a remainder.

1, 2, 4, 8, 16, 32, 64, 653, 1306, 2612, 5224, 10448, 20896

Step-4: Factors of 41808

List of positive integer factors of 41808 that divides 41792 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 67, 78, 104, 134, 156, 201, 208, 268, 312, 402, 536, 624, 804, 871, 1072, 1608, 1742, 2613, 3216, 3484, 5226, 6968, 10452, 13936, 20904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41792 and 41808. The biggest common factor number is the GCF number.
So the greatest common factor 41792 and 41808 is 16.

Also check out the Least Common Multiple of 41792 and 41808