What is the Greatest Common Factor of 40992 and 41004?

Greatest common factor (GCF) of 40992 and 41004 is 12.

GCF(40992,41004) = 12

We will now calculate the prime factors of 40992 and 41004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40992 and 41004.

How to find the GCF of 40992 and 41004?

We will first find the prime factorization of 40992 and 41004. After we will calculate the factors of 40992 and 41004 and find the biggest common factor number .

Step-1: Prime Factorization of 40992

Prime factors of 40992 are 2, 3, 7, 61. Prime factorization of 40992 in exponential form is:

40992 = 2⁵ × 3¹ × 7¹ × 61¹

Step-2: Prime Factorization of 41004

Prime factors of 41004 are 2, 3, 17, 67. Prime factorization of 41004 in exponential form is:

41004 = 2² × 3² × 17¹ × 67¹

Step-3: Factors of 40992

List of positive integer factors of 40992 that divides 40992 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 61, 84, 96, 112, 122, 168, 183, 224, 244, 336, 366, 427, 488, 672, 732, 854, 976, 1281, 1464, 1708, 1952, 2562, 2928, 3416, 5124, 5856, 6832, 10248, 13664, 20496

Step-4: Factors of 41004

List of positive integer factors of 41004 that divides 40992 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 67, 68, 102, 134, 153, 201, 204, 268, 306, 402, 603, 612, 804, 1139, 1206, 2278, 2412, 3417, 4556, 6834, 10251, 13668, 20502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40992 and 41004. The biggest common factor number is the GCF number.
So the greatest common factor 40992 and 41004 is 12.

Also check out the Least Common Multiple of 40992 and 41004