What is the Greatest Common Factor of 57684 and 57702?

Greatest common factor (GCF) of 57684 and 57702 is 6.

GCF(57684,57702) = 6

We will now calculate the prime factors of 57684 and 57702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57684 and 57702.

How to find the GCF of 57684 and 57702?

We will first find the prime factorization of 57684 and 57702. After we will calculate the factors of 57684 and 57702 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 57702

Prime factors of 57702 are 2, 3, 59, 163. Prime factorization of 57702 in exponential form is:

57702 = 2¹ × 3¹ × 59¹ × 163¹

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 57702

List of positive integer factors of 57702 that divides 57684 without a remainder.

1, 2, 3, 6, 59, 118, 163, 177, 326, 354, 489, 978, 9617, 19234, 28851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57684 and 57702. The biggest common factor number is the GCF number.
So the greatest common factor 57684 and 57702 is 6.

Also check out the Least Common Multiple of 57684 and 57702