What is the Greatest Common Factor of 57684 and 57690?

Greatest common factor (GCF) of 57684 and 57690 is 6.

GCF(57684,57690) = 6

We will now calculate the prime factors of 57684 and 57690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57684 and 57690.

How to find the GCF of 57684 and 57690?

We will first find the prime factorization of 57684 and 57690. After we will calculate the factors of 57684 and 57690 and find the biggest common factor number .

Step-1: Prime Factorization of 57684

Prime factors of 57684 are 2, 3, 11, 19, 23. Prime factorization of 57684 in exponential form is:

57684 = 2² × 3¹ × 11¹ × 19¹ × 23¹

Step-2: Prime Factorization of 57690

Prime factors of 57690 are 2, 3, 5, 641. Prime factorization of 57690 in exponential form is:

57690 = 2¹ × 3² × 5¹ × 641¹

Step-3: Factors of 57684

List of positive integer factors of 57684 that divides 57684 without a remainder.

1, 2, 3, 4, 6, 11, 12, 19, 22, 23, 33, 38, 44, 46, 57, 66, 69, 76, 92, 114, 132, 138, 209, 228, 253, 276, 418, 437, 506, 627, 759, 836, 874, 1012, 1254, 1311, 1518, 1748, 2508, 2622, 3036, 4807, 5244, 9614, 14421, 19228, 28842

Step-4: Factors of 57690

List of positive integer factors of 57690 that divides 57684 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 641, 1282, 1923, 3205, 3846, 5769, 6410, 9615, 11538, 19230, 28845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57684 and 57690. The biggest common factor number is the GCF number.
So the greatest common factor 57684 and 57690 is 6.

Also check out the Least Common Multiple of 57684 and 57690