What is the Greatest Common Factor of 61824 and 61836?

Greatest common factor (GCF) of 61824 and 61836 is 12.

GCF(61824,61836) = 12

We will now calculate the prime factors of 61824 and 61836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61824 and 61836.

How to find the GCF of 61824 and 61836?

We will first find the prime factorization of 61824 and 61836. After we will calculate the factors of 61824 and 61836 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61836

Prime factors of 61836 are 2, 3, 5153. Prime factorization of 61836 in exponential form is:

61836 = 2² × 3¹ × 5153¹

Step-3: Factors of 61824

List of positive integer factors of 61824 that divides 61824 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

Step-4: Factors of 61836

List of positive integer factors of 61836 that divides 61824 without a remainder.

1, 2, 3, 4, 6, 12, 5153, 10306, 15459, 20612, 30918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61824 and 61836. The biggest common factor number is the GCF number.
So the greatest common factor 61824 and 61836 is 12.

Also check out the Least Common Multiple of 61824 and 61836