What is the Greatest Common Factor of 65688 and 65706?

Greatest common factor (GCF) of 65688 and 65706 is 6.

GCF(65688,65706) = 6

We will now calculate the prime factors of 65688 and 65706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65688 and 65706.

How to find the GCF of 65688 and 65706?

We will first find the prime factorization of 65688 and 65706. After we will calculate the factors of 65688 and 65706 and find the biggest common factor number .

Step-1: Prime Factorization of 65688

Prime factors of 65688 are 2, 3, 7, 17, 23. Prime factorization of 65688 in exponential form is:

65688 = 2³ × 3¹ × 7¹ × 17¹ × 23¹

Step-2: Prime Factorization of 65706

Prime factors of 65706 are 2, 3, 47, 233. Prime factorization of 65706 in exponential form is:

65706 = 2¹ × 3¹ × 47¹ × 233¹

Step-3: Factors of 65688

List of positive integer factors of 65688 that divides 65688 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 23, 24, 28, 34, 42, 46, 51, 56, 68, 69, 84, 92, 102, 119, 136, 138, 161, 168, 184, 204, 238, 276, 322, 357, 391, 408, 476, 483, 552, 644, 714, 782, 952, 966, 1173, 1288, 1428, 1564, 1932, 2346, 2737, 2856, 3128, 3864, 4692, 5474, 8211, 9384, 10948, 16422, 21896, 32844

Step-4: Factors of 65706

List of positive integer factors of 65706 that divides 65688 without a remainder.

1, 2, 3, 6, 47, 94, 141, 233, 282, 466, 699, 1398, 10951, 21902, 32853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65688 and 65706. The biggest common factor number is the GCF number.
So the greatest common factor 65688 and 65706 is 6.

Also check out the Least Common Multiple of 65688 and 65706