What is the Greatest Common Factor of 61812 and 61824?

Greatest common factor (GCF) of 61812 and 61824 is 12.

GCF(61812,61824) = 12

We will now calculate the prime factors of 61812 and 61824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61812 and 61824.

How to find the GCF of 61812 and 61824?

We will first find the prime factorization of 61812 and 61824. After we will calculate the factors of 61812 and 61824 and find the biggest common factor number .

Step-1: Prime Factorization of 61812

Prime factors of 61812 are 2, 3, 17, 101. Prime factorization of 61812 in exponential form is:

61812 = 2² × 3² × 17¹ × 101¹

Step-2: Prime Factorization of 61824

Prime factors of 61824 are 2, 3, 7, 23. Prime factorization of 61824 in exponential form is:

61824 = 2⁷ × 3¹ × 7¹ × 23¹

Step-3: Factors of 61812

List of positive integer factors of 61812 that divides 61812 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 101, 102, 153, 202, 204, 303, 306, 404, 606, 612, 909, 1212, 1717, 1818, 3434, 3636, 5151, 6868, 10302, 15453, 20604, 30906

Step-4: Factors of 61824

List of positive integer factors of 61824 that divides 61812 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 23, 24, 28, 32, 42, 46, 48, 56, 64, 69, 84, 92, 96, 112, 128, 138, 161, 168, 184, 192, 224, 276, 322, 336, 368, 384, 448, 483, 552, 644, 672, 736, 896, 966, 1104, 1288, 1344, 1472, 1932, 2208, 2576, 2688, 2944, 3864, 4416, 5152, 7728, 8832, 10304, 15456, 20608, 30912

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61812 and 61824. The biggest common factor number is the GCF number.
So the greatest common factor 61812 and 61824 is 12.

Also check out the Least Common Multiple of 61812 and 61824