What is the Greatest Common Factor of 41484 and 41496?

Greatest common factor (GCF) of 41484 and 41496 is 12.

GCF(41484,41496) = 12

We will now calculate the prime factors of 41484 and 41496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41484 and 41496.

How to find the GCF of 41484 and 41496?

We will first find the prime factorization of 41484 and 41496. After we will calculate the factors of 41484 and 41496 and find the biggest common factor number .

Step-1: Prime Factorization of 41484

Prime factors of 41484 are 2, 3, 3457. Prime factorization of 41484 in exponential form is:

41484 = 2² × 3¹ × 3457¹

Step-2: Prime Factorization of 41496

Prime factors of 41496 are 2, 3, 7, 13, 19. Prime factorization of 41496 in exponential form is:

41496 = 2³ × 3¹ × 7¹ × 13¹ × 19¹

Step-3: Factors of 41484

List of positive integer factors of 41484 that divides 41484 without a remainder.

1, 2, 3, 4, 6, 12, 3457, 6914, 10371, 13828, 20742

Step-4: Factors of 41496

List of positive integer factors of 41496 that divides 41484 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 19, 21, 24, 26, 28, 38, 39, 42, 52, 56, 57, 76, 78, 84, 91, 104, 114, 133, 152, 156, 168, 182, 228, 247, 266, 273, 312, 364, 399, 456, 494, 532, 546, 728, 741, 798, 988, 1064, 1092, 1482, 1596, 1729, 1976, 2184, 2964, 3192, 3458, 5187, 5928, 6916, 10374, 13832, 20748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41484 and 41496. The biggest common factor number is the GCF number.
So the greatest common factor 41484 and 41496 is 12.

Also check out the Least Common Multiple of 41484 and 41496