What is the Greatest Common Factor of 61804 and 61824?

Greatest common factor (GCF) of 61804 and 61824 is 4.

GCF(61804,61824) = 4

We will now calculate the prime factors of 61804 and 61824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61804 and 61824.

How to find the GCF of 61804 and 61824?

We will first find the prime factorization of 61804 and 61824. After we will calculate the factors of 61804 and 61824 and find the biggest common factor number .

Step-1: Prime Factorization of 61804

Prime factors of 61804 are 2, 15451. Prime factorization of 61804 in exponential form is:

61804 = 2² × 15451¹

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 61804

List of positive integer factors of 61804 that divides 61804 without a remainder.

1, 2, 4, 15451, 30902

Step-4: Factors of 61824

List of positive integer factors of 61824 that divides 61804 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 61804 and 61824. The biggest common factor number is the GCF number.
So the greatest common factor 61804 and 61824 is 4.

Also check out the Least Common Multiple of 61804 and 61824